Задача Задача №2925737
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To simplify the expression \( (a + 3)(a - 6) \), you can use the distributive property (also known as the FOIL method for binomials).
Here's how it's done step-by-step:
- First: Multiply the first terms: \( a \cdot a = a^2 \).
- Outer: Multiply the outer terms: \( a \cdot (-6) = -6a \).
- Inner: Multiply the inner terms: \( 3 \cdot a = 3a \).
- Last: Multiply the last terms: \( 3 \cdot (-6) = -18 \).
Now, combine all those results together:
\[ a^2 - 6a + 3a - 18 \]
Combine the like terms:
\[ a^2 - 3a - 18 \]
So, the simplified expression is:
\[ a^2 - 3a - 18 \]