Question

(x + 3)2 – (x - 2)(x + 2)​

Answer 1

Ответ:

6x+13

Пошаговое объяснение:

(x+3)²-(x-2)(x+2) = x²+2*x*3+3²-(x²-2²) = x²+6x+9-x²+4 = 6x+13

Answer 2

To simplify the given expression $(x + 3)^2 - (x - 2)(x + 2)$, you can start by expanding the terms within the parentheses and then combining like terms.

First, expand $(x + 3)^2$: $(x + 3)^2 = (x + 3)(x + 3) = x(x + 3) + 3(x + 3) = x^2 + 3x + 3x + 9 = x^2 + 6x + 9$

Next, expand $(x - 2)(x + 2)$: $(x - 2)(x + 2) = x(x + 2) - 2(x + 2) = x^2 + 2x - 2x - 4 = x^2 - 4$

Now substitute these expanded forms back into the original expression: $= (x^2 + 6x + 9) - (x^2 - 4)$

Distribute the negative sign to both terms inside the parentheses: $= x^2 + 6x + 9 - x^2 + 4$

Now, combine like terms: $= (x^2 - x^2) + 6x + 9 + 4$

Simplifying further: $= 6x + 13$

So, the simplified form of the given expression $(x + 3)^2 - (x - 2)(x + 2)$ is $6x + 13$.