Question

(a-b)^2+(a+b)^2 упростить выражение

Answer 1

A^2-2ab+b^2+a^2+2ab+b^2
a^2+b^2+a^2+b^2
2(a^2+b^2)
Формулы сокращенного умножения.

Answer 2

Вообще,по идее,так .....

Answer 3

To simplify the expression $(a-b)^2 + (a+b)^2$, we'll start by expanding each squared term and then combine like terms:

1. Expand $(a-b)^2$: $(a-b)^2 = (a-b)(a-b) = a^2 - 2ab + b^2$

2. Expand $(a+b)^2$: $(a+b)^2 = (a+b)(a+b) = a^2 + 2ab + b^2$

Now, we can substitute these expanded forms back into the original expression and simplify further:

$(a-b)^2 + (a+b)^2 = (a^2 - 2ab + b^2) + (a^2 + 2ab + b^2)$

Now, combine like terms:

$a^2 + a^2 - 2ab + 2ab + b^2 + b^2 = 2a^2 + 2b^2$

So, the simplified expression is $2a^2 + 2b^2$.