Question

Descompuneti :
a) ax+bx+ay+by
b) 5x+5y-ax-ay
c) x+ax+y+ay
d) ax-bx+ax^2-bx^2
e) x^3+x^2-4x-4
f) x^3+x^2+2x+2

Answer 1

a) x(a+b)+y(a+b)=(x+y)(a+b)

Answer 2

a) ax+bx+ay+by = x(a+b)+y(a+b) = (a+b)(x+y)
b) 5x+5y-ax-ay = 5(x+y)-a(x+y) = (x+y)(5-a)
c) x+ax+y+ay = x(1+a)+y(1+a) = (1+a)(x+y)
d) ax-bx+ax²-bx² = x(a-b)+x²(a-b) = (a-b)(x-x²)
e) x³+x²-4x-4 = x²(x+1)-4(x+1) = (x+1)(x²-4)
f) x³+x²+2x+2 = x²(x+1)+2(x+1) = (x+1)(x²+2)

Sper ca te-am ajutat.