Question

Descompuneti în factori,grupand convenabil termeni
a).2x+2y+ax+ay
b).x+ax-y-ay
c).4x-4y+ax-ay
d).3x+3y-ax-ay.

Answer 1

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

b)  ... = x(1+a) - y(1+a) = (1+a)(x-y) ;

c)  ... = 4(x-y) + a(x-y) = (x-y)(4+a) ;

d)  ... = 3(x+y) - a(x+y) = (x+y)(3-a) ;

Answer 2

a).  2x+2y+ax+ay
      2 (x+ y ) + a ( x+y )
( x+y ) + 2 + a


x+ax-y-ay
x ( 1 + a ) - y ( 1 - a  )

4x -4y +ax -ay
(x - y ) ( 4-4 +a -a )

3x +3y -ax -ay
3( x + y ) - a ( x -y )