5x2+10x-15

Question 1

Задача Задача №1645911

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Аноним

27 сентября 2024 07:34 · публичный вопрос

А

Аноним 27 сентября 2024 07:34

5x2+10x-15

Answer

To simplify the expression \( 5x^2 + 10x - 15 \), you can factor it out.

Identify common factors: The coefficients \(5\), \(10\), and \(-15\) have a common factor of \(5\).
Factor out the common term:

\[ 5(x^2 + 2x - 3) \]
Factor the quadratic: Now, factor \(x^2 + 2x - 3\). We need two numbers that multiply to \(-3\) and add to \(2\). These numbers are \(3\) and \(-1\).

\[ x^2 + 2x - 3 = (x + 3)(x - 1) \]
Combine everything:

\[ 5(x + 3)(x - 1) \]

So, the factored form of the expression \(5x^2 + 10x - 15\) is:

\[ 5(x + 3)(x - 1) \]

Question 2

5x2+10x-15

Answer

To simplify the expression \( 5x^2 + 10x - 15 \), you can factor it out. 1. **Identify common factors**: The coefficients \(5\), \(10\), and \(-15\) have a common factor of \(5\). 2. **Factor out the common term**: \[ 5(x^2 + 2x - 3) \] 3. **Factor the quadratic**: Now, factor \(x^2 + 2x - 3\). We need two numbers that multiply to \(-3\) and add to \(2\). These numbers are \(3\) and \(-1\). \[ x^2 + 2x - 3 = (x + 3)(x - 1) \] 4. **Combine everything**: \[ 5(x + 3)(x - 1) \] So, the factored form of the expression \(5x^2 + 10x - 15\) is: \[ 5(x + 3)(x - 1) \]