Question

(а+8)2 −2(а+8)(а−2)+(а−2)2

Answer 1

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Answer 2

Ответ:

Смотри решение на фото

Answer 3

To simplify the expression (a+8)^2 - 2(a+8)(a-2) + (a-2)^2, you can follow these steps:

1. Expand the squares: (a+8)^2 = a^2 + 16a + 64 (a-2)^2 = a^2 - 4a + 4

2. Expand the product terms: -2(a+8)(a-2) = -2(a^2 - 2a + 8a - 16) = -2(a^2 + 6a - 16)

Now, plug these expanded forms back into the original expression:

a^2 + 16a + 64 - 2(a^2 + 6a - 16) + (a^2 - 4a + 4)

Now, distribute the -2 in the second term:

a^2 + 16a + 64 - 2a^2 - 12a + 32 + a^2 - 4a + 4

Now, combine like terms:

(1 - 2 + 1)a^2 + (16 - 12 - 4)a + (64 + 32 + 4)

Simplify further:

0a^2 + 0a + 100

Finally, since the coefficient of the quadratic term is 0, the expression simplifies to:

0a + 100

Which further simplifies to just:

100

So, the simplified expression is 100.