Question

Descompuneti in factori ireductibili expresia:

E(x)=(2x+1)5x^2-(2x+1)×(x^2+1)

Va rog repede!!!!!!!

Answer 1

Vom avea nevoie formula diferentei de patrate:
$a^2-b^2=(a+b)(a-b)$

Vom da factor comun pe (2x + 1):

[tex]E(x)=(2x+1)5x^2-(2x+1)(x^2+1)=(2x+1)(5x^2-(x^2+1))\\\\ E(x)=(2x+1)(5x^2-x^2-1)=(2x+1)(4x^2-1)\\\\ E(x)=(2x+1)((2x)^2-1^2)=(2x+1)(2x+1)(2x-1)\\\\ E(x)=(2x+1)^2(2x-1)[/tex]