Question

(a+3)(a-2)+(a-3)(a+6)

Answer 1

Объяснение:

$(a + 3)(a - 2) + (a - 3)(a + 6) = {a}^{2} - 2a + 3a - 6 + {a}^{2} + 6a - 3a - 18 = 2 {a}^{2} + 4a - 14$

Делим уравнение на 2, получаем:

$2 {a}^{2} + 4a - 14 = {a}^{2} + 2a - 7$

Answer 2

To simplify the given expression, you can start by applying the distributive property (also known as the FOIL method) to each pair of parentheses and then combine like terms. Let's break it down step by step:

Expression: (a+3)(a-2) + (a-3)(a+6)

Step 1: Multiply the terms in the first parentheses with the terms in the second parentheses for each term pair. (a+3)(a-2) = a(a) + a(-2) + 3(a) + 3(-2) = a^2 - 2a + 3a - 6 = a^2 + a - 6

(a-3)(a+6) = a(a) + a(6) - 3(a) - 3(6) = a^2 + 6a - 3a - 18 = a^2 + 3a - 18

Step 2: Add the results of the two simplified expressions together. (a^2 + a - 6) + (a^2 + 3a - 18) = a^2 + a^2 + a + 3a - 6 - 18 = 2a^2 + 4a - 24

So, the simplified expression is 2a^2 + 4a - 24.