Question

(2a - b) ²+(a-4b)(a +4b)

Answer 1

......................

Answer 2

4a^2-4ab+b^2+a^2-16b^2
Приводим однородные члены. И получаем
5a^2-4ab-15b^2

Answer 3

To simplify the given expression $(2a - b)^2 + (a - 4b)(a + 4b)$, let's break it down step by step:

1. Expand $(2a - b)^2$: $(2a - b)^2 = (2a - b)(2a - b) = 4a^2 - 2ab - 2ab + b^2 = 4a^2 - 4ab + b^2$

2. Expand $(a - 4b)(a + 4b)$: $(a - 4b)(a + 4b) = a^2 + 4ab - 4ab - 16b^2 = a^2 - 16b^2$

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

$(2a - b)^2 + (a - 4b)(a + 4b) = (4a^2 - 4ab + b^2) + (a^2 - 16b^2)$

Now, combine the like terms:

$4a^2 - 4ab + b^2 + a^2 - 16b^2 = 5a^2 - 4ab - 15b^2$

So, the simplified expression is $5a^2 - 4ab - 15b^2$.