Question

A) (x + 1)^2 – (x - 2)(x + 4);срочно !​

Answer 1

Ответ:

10-$x^{2}$

Объяснение:

Answer 2

Ответ:

10-х²

Объяснение:

(х+1)*2-(x-2)*(x+4)

2x+2-(x²+4x-2x-8)

2x+2-(x²+2x-8)

2x+2-x²-2x+8

10-x²

Answer 3

Sure, let's simplify the expression step by step:

$(x + 1)^2$ means $(x + 1) \times (x + 1)$, which is $x^2 + 2x + 1$.

Now, let's expand $(x - 2)(x + 4)$: $(x - 2)(x + 4) = x \times x + x \times 4 - 2 \times x - 2 \times 4 = x^2 + 4x - 2x - 8 = x^2 + 2x - 8$.

Now, let's simplify the expression $(x + 1)^2 - (x - 2)(x + 4)$: $(x + 1)^2 - (x - 2)(x + 4) = (x^2 + 2x + 1) - (x^2 + 2x - 8)$.

Now, distribute the negative sign in $- (x^2 + 2x - 8)$: $(x^2 + 2x + 1) + (-x^2 - 2x + 8) = x^2 + 2x + 1 - x^2 - 2x + 8$.

Now, simplify: $x^2 - x^2 + 2x - 2x + 1 + 8 = 9$.

So, the simplified expression is $9$.