Question

Desconpuneti:
a) ax+bx+ay+by
b) ax-bx+ay-by
c) a+ax+b+bx
d) 2x+2y+ax+ay
e) -4x-4y+ax+ay
f) x2+x-2x-2

Answer 1

a) ax+bx+ay+by = x(a+b)+y(a+b) = (a+b) (x+y)
b) ax-bx+ay-by = x (a-b) +y(a-b) = (a-b) (x+y)
c) a+ax+b+bx = a+b +x(a+b) = (a+b)( 1+x)
d) 2x+2y+ax+ay = 2(x+y) + a(x+y) = (x+y)(2+a)
e) -4x-4y+ax+ay = -4(x+y) +a(x+y) = (x+y)(a-4)
f) x^2+x-2x-2 = x(x+1) - 2(x+1)= (x+1)(x-2)