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Задача Задача №3719347
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12 октября 2026 12:48 · публичный вопрос
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Краткий ответ

1. Expand the brackets

a) \(3(x+2)=3x+6\)
b) \(4(y-5)=4y-20\)
c) \(5(8+a)=40+5a\)
d) \(6(3-p)=18-6p\)
e) \(2(x+y)=2x+2y\)
f) \(3(a-b)=3a-3b\)
g) \(8(m-n)=8m-8n\)
h) \(7(p+q)=7p+7q\)
i) \(6(2x+1)=12x+6\)
j) \(5(3y-2)=15y-10\)
k) \(4(6-5y)=24-20y\)
l) \(2(3y-4)=6y-8\)
m) \(3(2x+3y)=6x+9y\)
n) \(4(6x-5y)=24x-20y\)
o) \(9(4a+5b)=36a+45b\)
p) \(8(3p-4q)=24p-32q\)
q) \(-2(x+2)=-2x-4\)
r) \(-4(y-1)=-4y+4\)
s) \(-3(4y+7)=-12y-21\)
t) \(-2(6-5y)=-12+10y\)

2. Expand the brackets

a) \(4(2a+3b-5)=8a+12b-20\)
b) \(3(5x-2y+z)=15x-6y+3z\)
c) \(6(1+2x+3y)=6+12x+18y\)
d) \(2(5p-3+2q)=10p-6+4q\)
e) \(7(3f+2g-5h)=21f+14g-35h\)
f) \(10(x-2y+3z)=10x-20y+30z\)
g) \(-3(2x+y-4)=-6x-3y+12\)
h) \(-2(a-3b+7)=-2a+6b-14\)
i) \(-7(3p-q+4r)=-21p+7q-28r\)

3. Expand the brackets

a) \(\frac12(4x+6)=2x+3\)
b) \(\frac12(8y-10)=4y-5\)
c) \(\frac13(6x-9)=2x-3\)
d) \(\frac15(20x-15)=4x-3\)
e) \(\frac14(28x+4)=7x+1\)
f) \(\frac18(16-40x)=2-5x\)

4. Complete

a) \(3(2x+\boxed{5})=6x+15\)
b) \(4(3y-\boxed{2})=12y-8\)
c) \(8(6x-\boxed{7})=48x-56\)

Как решать

Используй распределительное свойство:

\[ k(a+b)=ka+kb,\qquad k(a-b)=ka-kb. \]

Число перед скобками умножается на каждый член внутри скобок.

Например:

\[ -3(4y+7)=(-3)\cdot4y+(-3)\cdot7=-12y-21. \]

Если перед скобками дробь, она также умножается на каждый член:

\[ \frac12(8y-10)=\frac12\cdot8y-\frac12\cdot10=4y-5. \]

Проверка пункта 4а:

\[ 3(2x+5)=3\cdot2x+3\cdot5=6x+15, \]

значит, в окошке действительно стоит \(5\).

Обсуждение

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Write a Marcus vipsanious Angrippa with easy words

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Marcus Vipsanius Agrippa

Marcus Vipsanius Agrippa was a Roman general and politician. He was a close friend and helper of Augustus, the first Roman emperor. Agrippa won important battles for Rome, including the Battle of Actium in 31 BCE. This victory helped Augustus become the most powerful leader in Rome. Agrippa also built roads, baths, temples, and aqueducts. He helped make Rome a better and more beautiful city. He died in 12 BCE.

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Do you mean “a lot”—would you like a longer text about Marcus Vipsanius Agrippa in easy words?

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Marcus Vipsanius Agrippa

Marcus Vipsanius Agrippa was a famous Roman general, politician, and builder. He was born around 63 BCE. Agrippa was a close friend and trusted helper of Octavian, who later became Emperor Augustus.

Agrippa was a very good military leader. He helped Octavian win an important naval battle at Actium in 31 BCE. Octavian defeated Mark Antony and Cleopatra in this battle. After the victory, Octavian became the most powerful man in Rome and later became Rome’s first emperor.

Agrippa also helped improve the city of Rome. He built roads, bridges, baths, temples, and aqueducts. One of the aqueducts brought fresh water to the people of Rome. He also helped build an early version of the Pantheon.

Agrippa was not an emperor, but he played an important part in the success of Augustus. He served Rome for many years and died in 12 BCE. Romans remembered him as a brave general and an excellent builder.

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Marcus Vipsanius Agrippa

Marcus Vipsanius Agrippa was an important Roman general, politician, and builder. He was born around 64 BCE. Agrippa became famous because he was the closest friend and most trusted helper of Octavian. Octavian was the adopted son of Julius Caesar. Later, he became the first Roman emperor and took the name Augustus.

Agrippa and Octavian met when they were young men. They became good friends and worked together for many years. Agrippa was loyal, brave, and intelligent. Octavian was an important leader, but he needed a strong military commander. Agrippa became this commander and helped Octavian win many important battles.

After Julius Caesar was killed in 44 BCE, Rome became a dangerous place. Several leaders fought for power. Octavian fought against Mark Antony and other enemies. Agrippa helped him build a strong army and navy. He was not only a good soldier; he was also a clever planner.

One of Agrippa’s first great victories was against Sextus Pompey. Sextus Pompey controlled parts of the sea and stopped food from reaching Rome. Agrippa built ships and trained sailors to fight him. In 36 BCE, Agrippa defeated Sextus Pompey in the Battle of Naulochus near Sicily. This victory helped Octavian become stronger.

Agrippa’s most famous victory was the Battle of Actium in 31 BCE. Octavian fought against Mark Antony and the Egyptian queen Cleopatra. Agrippa was the main commander of Octavian’s navy. Before the battle, he prepared ships, soldiers, and supplies carefully. His plan worked, and Octavian won the battle. Antony and Cleopatra escaped to Egypt, where they later died.

The victory at Actium changed Roman history. Octavian became the most powerful person in Rome. In 27 BCE, the Roman Senate gave him the title Augustus. He became the first emperor of Rome. Augustus was successful partly because Agrippa had helped him win the civil wars. Without Agrippa, Augustus might not have gained power so easily.

Agrippa was also a very good builder and city planner. He wanted to make Rome cleaner, healthier, and more beautiful. When he was responsible for public works, he repaired streets and improved the water supply. He built baths, temples, roads, bridges, and fountains. He also helped repair the city’s sewers.

One of his most important projects was the Aqua Virgo aqueduct. An aqueduct was a structure that carried fresh water from the countryside into a city. The Aqua Virgo brought water to Rome and helped supply public baths and fountains. Parts of this aqueduct were used for many centuries.

Agrippa also built an early version of the Pantheon. The Pantheon was a large and impressive temple. The building that visitors see today was rebuilt later, but it still has an inscription connected with Agrippa. The inscription says that Marcus Agrippa built it. This shows how important his work was to Rome.

Agrippa also served as a politician. He was consul several times and helped Augustus govern the Roman Empire. He travelled to different parts of the empire and helped keep order. He worked on roads, buildings, and government projects. He was respected because he worked hard and did not only think about his own fame.

Agrippa married Julia, the daughter of Augustus. This marriage made the connection between Agrippa and Augustus even stronger. They had several children. Their sons, Gaius Caesar and Lucius Caesar, were adopted by Augustus and were expected to become future leaders. Agrippa’s family later became connected with the imperial family of Rome.

Marcus Vipsanius Agrippa died in 12 BCE. He was about fifty years old. Augustus was very sad because Agrippa had been his friend, general, and most trusted helper for many years. Agrippa’s body was brought back to Rome, and Augustus gave him a great funeral.

Agrippa is remembered for two main reasons. First, he was one of Rome’s greatest military commanders. His victories helped Augustus become emperor and brought an end to many years of civil war. Second, he improved everyday life in Rome by building aqueducts, roads, baths, temples, and other public places.

Marcus Vipsanius Agrippa was not an emperor, but he played a very important role in Roman history. He helped create the Roman Empire and made Rome a stronger and more beautiful city. His life shows that a successful leader does not always have to be the most famous person. Sometimes a loyal friend, skilled commander, and hard-working helper can change history.

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There is no real photograph of Marcus Vipsanius Agrippa because he lived more than 2,000 years ago, before cameras were invented. For your project, use a picture of his marble bust, statue, or coin.

Search for: “Marcus Vipsanius Agrippa bust”

Caption: A marble bust of Marcus Vipsanius Agrippa, a Roman general, politician, and builder.

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And same easy drawing

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To describe

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Faster

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Answers
### Краткий ответ #### 1. Expand the brackets a) \(3(x+2)=3x+6\) b) \(4(y-5)=4y-20\) c) \(5(8+a)=40+5a\) d) \(6(3-p)=18-6p\) e) \(2(x+y)=2x+2y\) f) \(3(a-b)=3a-3b\) g) \(8(m-n)=8m-8n\) h) \(7(p+q)=7p+7q\) i) \(6(2x+1)=12x+6\) j) \(5(3y-2)=15y-10\) k) \(4(6-5y)=24-20y\) l) \(2(3y-4)=6y-8\) m) \(3(2x+3y)=6x+9y\) n) \(4(6x-5y)=24x-20y\) o) \(9(4a+5b)=36a+45b\) p) \(8(3p-4q)=24p-32q\) q) \(-2(x+2)=-2x-4\) r) \(-4(y-1)=-4y+4\) s) \(-3(4y+7)=-12y-21\) t) \(-2(6-5y)=-12+10y\) #### 2. Expand the brackets a) \(4(2a+3b-5)=8a+12b-20\) b) \(3(5x-2y+z)=15x-6y+3z\) c) \(6(1+2x+3y)=6+12x+18y\) d) \(2(5p-3+2q)=10p-6+4q\) e) \(7(3f+2g-5h)=21f+14g-35h\) f) \(10(x-2y+3z)=10x-20y+30z\) g) \(-3(2x+y-4)=-6x-3y+12\) h) \(-2(a-3b+7)=-2a+6b-14\) i) \(-7(3p-q+4r)=-21p+7q-28r\) #### 3. Expand the brackets a) \(\frac12(4x+6)=2x+3\) b) \(\frac12(8y-10)=4y-5\) c) \(\frac13(6x-9)=2x-3\) d) \(\frac15(20x-15)=4x-3\) e) \(\frac14(28x+4)=7x+1\) f) \(\frac18(16-40x)=2-5x\) #### 4. Complete a) \(3(2x+\boxed{5})=6x+15\) b) \(4(3y-\boxed{2})=12y-8\) c) \(8(6x-\boxed{7})=48x-56\) ### Как решать Используй распределительное свойство: \[ k(a+b)=ka+kb,\qquad k(a-b)=ka-kb. \] Число перед скобками умножается **на каждый член внутри скобок**. Например: \[ -3(4y+7)=(-3)\cdot4y+(-3)\cdot7=-12y-21. \] Если перед скобками дробь, она также умножается на каждый член: \[ \frac12(8y-10)=\frac12\cdot8y-\frac12\cdot10=4y-5. \] Проверка пункта 4а: \[ 3(2x+5)=3\cdot2x+3\cdot5=6x+15, \] значит, в окошке действительно стоит \(5\).