Question

Descompuneti in factori:
A) xy-3x-4y×12
B)2xy-6x+y-3
C)6xy+4x-3y-2
D)2ax+2ay-bx-by
E)x la puterea a 2+bx+ax+ab
F)xy+bx+ay+ab
Vă rog ajutati-ma

Answer 1

Răspuns:

Explicație pas cu pas:

a)   xy - 3x - 4y + 12 = x ( y - 3) - 4 ( y - 3) = (y-3)(x-4)

b)   2xy - 6x + y - 3 = 2x( y - 3) + ( y-3) = ( y - 3)( 2x + 1 )

c)   6 xy +4x-3y-2= 2x ( 3y+2) - ( 3y+ 2) = ( 3y+2)(2x-1)

d)  2ax + 2ay-bx-by = 2a(x+y) - b(x+y) = ( x+y)(2a-b)

e)  x² + bx + ax + ab = ( x² + ax) + ( bx + ab) = x (x+a)+b(x+a) =(x+a)(x+b)

f)  xy + bx+ay+ab=x(y+b) + a(y+b) = ( y+b) (x+a)