Question

А) (х+3)²-(х-2)(х+2)​

Answer 1

Ответ:

${x}^{2} + 6x + 9 - {x}^{2} + 4 = 6x + 13$

Answer 2

To simplify the expression (х+3)² - (х-2)(х+2), we can expand the square and then distribute the terms:

(х+3)² - (х-2)(х+2) = (х+3)(х+3) - (х-2)(х+2) = (х+3)(х+3) - (х-2)х - (х-2)2 = (х+3)(х+3) - (х² - 2х + 2х - 4) = (х+3)(х+3) - (х² - 4)

Now let's simplify further by expanding the square:

(х+3)(х+3) = х² + 3х + 3х + 9 = х² + 6х + 9

Substituting this back into the expression:

(х+3)² - (х-2)(х+2) = х² + 6х + 9 - (х² - 4) = х² + 6х + 9 - х² + 4 = (х² - х²) + (6х + 4) + 9 = 6х + 4 + 9 = 6х + 13

So, the simplified expression is 6х + 13.