Question

Extrae factor comun
2 ×(a-b) + x × (a-b)
4a(2x-1)+3 (2x-1)
(2+3x) (x^2-1) + (2+3x) (x+1)
(5x-6)^2 - x (5x-6)
(X+2) (3x-1) +(2- x) (x+2)
X^2 (x -1) + x^2 (x -2)+x^2 (x-3)

Answer 1

2( a -b) +x(a- b)    sacamos factor comun (a - b)
(a -b)(2 + x)

4a(2x - 1) + 3(2x - 1)  sacamos factor comun (2x - 1)
(2x - 1)(4a + 3)

(2 + 3x)(x² - 1) + (2 + 3x)(x+1)
(2 +3x) (x+1)( x - 1) + (2 +2)(x +1)
(2 + 3x)(x +1) (x - 1 + 1)
(2 + 3x)( x+1) x

(5x - 6)² - x(5x - 6) =
(5x - 6)(5x - 6) - x(5x - 6) Sacamos factor comun (5x - 6)
(5x - 6)(5x - 6 -x)
(5x - 6)(4x -6)

(x + 2)(3x - 1) + (2 - x) (x + 2)  Sacomos factor comun (x + 2)
(x + 2)(3x - 1+ 2 - x)
(x + 2)(2x + 1)

x²(x - 1) + x² (x -2) +x²(x-3)  Sacamos factor comun x²
x²(x-1+x-2+x-3)
x²(3x-6)

Answer 2

2 ×(a-b) + x × (a-b)
factor comun  (a-b)
(a-b) (2x+x )

4a(2x-1)+3 (2x-1)
Fac.co  (2x-1)
(2x-1) (4a+3)

(2+3x) (x^2-1) + (2+3x) (x+1)
(2+ 3x) (x+1)(x-1) + (2+3x)(x+1)
fc (2+3x)(x+1)
{(2+3x)(x+1) (x-1)+1)}
(3x²+5x+2) (x)

(5x-6)^2 - x (5x-6)
fc  (5x-6)
(5x-6) ((5x-6)- x)
(5x-6) (5x-6-x)
(5x-6)(4x-6)

(X+2) (3x-1) +(2- x) (x+2)
fc (x+2)
(x+2){ (3x-1)+(2-x)}
(x+2) ( 3x-1+2-x)
(x+2) ( 2x +1)

x² ( x-1) + x²(x-2) + x²(x-3)
fc x²

x² ( x-1+(x-2)+(x-3)
x² ( x-1+x-2+x-3)
x² (3x- 6)