Question

Descompuneti in factori, grupand mai intai convenabil termenii: a) 2x+2y+ax+ay b) 5x-5y+ax+-ay c)xy+xz+5y+5z d)3x+3y+a^2x+a^2y

Answer 1

Răspuns:

Explicație pas cu pas:

a) 2 x + 2 y + a x + a y = 2 ( x + y ) + a ( x + y ) = ( x + y ) ( 2 + a )

b)  5x -5y+ax - ay = 5 ( x - y ) + a ( x - y ) = (x-y)(5+a)

c) xy + xz + 5y+5z = x ( y+z) + 5(y+z) = (y+z)(x+5)

d) 3x + 3y + a²x + a²y = 3(x+y)+a²(x+y)=(x+y)(3+a²)