Question

( a+4)^2+2(a-3)(a-2)

Answer 1

Ответ:

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Answer 2

Let's simplify the expression step by step:

Given expression: (a + 4)^2 + 2(a - 3)(a - 2)

1. Expand (a + 4)^2: (a + 4)^2 = a^2 + 8a + 16

2. Expand 2(a - 3)(a - 2): 2(a - 3)(a - 2) = 2(a^2 - 2a - 3a + 6) = 2(a^2 - 5a + 6) = 2a^2 - 10a + 12

Now, combine the two expanded expressions:

(a + 4)^2 + 2(a - 3)(a - 2) = (a^2 + 8a + 16) + (2a^2 - 10a + 12)

Combine like terms:

a^2 + 8a + 16 + 2a^2 - 10a + 12 = 3a^2 - 2a + 28

So, the simplified expression is: 3a^2 - 2a + 28.