Question

Descompuneti in factori: 36(x-2)^2 - 25(x+1)^2

Answer 1

Răspuns:

36(x-2)^2-25(x+1)^2

6(x-2)-5(x+1)×6(x-2)+5(x+1)

(6x -12-5x-5)(6×-12+5x+5)

( x-17)(11x-7)

Answer 2

Răspuns: $\red{\underline{\bf (6-17)\cdot(11x-7)}}$

Explicație pas cu pas:

$\bf 36(x-2)^2-25(x+1)^2 =$

$\bf 6^2\cdot(x-2)^2-5^2\cdot(x+1)^2 =$

$\bf [6\cdot(x-2)]^2-[5\cdot(x+1)]^2 =$

$\bf [6(x-2)-5(x+1)]\cdot[6(x-2)+5(x+1)]=$

$\bf (6x-12-5x-5)\cdot(6x-12+5x+5)=$

$\red{\underline{\bf (6-17)\cdot(11x-7)}}$

$==pav38==$