Question

sa se descompuna in factori:
$(x + 2) {}^{2} - (x - 1) { }^{2}$
​

Answer 1

(x+2)²-(x-1)²=

=(x+2+x-1)(x+2-x+1)=3(2x+1)

Answer 2

$\left(x+2\right)^2-\left(x-1\right)^2$

$= \left(x+2\right)^2:\quad x^2+4x+4$

$=x^2+4x+4-\left(x-1\right)^2$

$= \left(x-1\right)^2:\quad x^2-2x+1$

$= -\left(x^2-2x+1\right)$

$= \quad -x^2+2x-1$

$=x^2+4x+4-x^2+2x-1$

$=x^2-x^2+4x+2x+4-1$

$=4x+2x+4-1$

$=6x+4-1$

$=6x+3$

Sper că te-am ajutat!

Succes!