Question

d) ax- bx+ax la a 2-bx la a 2
e) x la a 3+x la a 2-4x -4
f) x la a 3 +x la a2 +2x+2

Answer 1

d) ax - bx + ax² - bx² =
= x(a - b + ax - bx ) =
= x(a - b + x(a - b)) = x(a - b)(1 + x ) 

e) x³ - x² - 4x - 4 =
= x²(x + 1)-4(x + 1) =
= (x + 1)(x² - 4) = (x + 1)(x - 2)(x + 2) 

f) x³ + x² + 2x + 2 =
= x²(x + 1) + 2(x + 1) = (x + 1)(x² + 2)