Verified answer

Bonjour

a) (1 - 3x)(2 + x) + (1 - 3x)(5 - 2x) = (1 - 3x)(2 + x + 5 - 2x) = (1 - 3x)(7 - x)

b) (2 + 3x)(x - 1) - (x + 1)(3x + 2) = (3x + 2)[x - 1 - (x + 1)] = (3x + 2)(x - 1 - x - 1)

(2 + 3x)(x - 1) - (x + 1)(3x + 2) = (3x + 2)(-2) = -2(3x + 2)

c) (9x + 1)² = (9x + 1)(9x + 1)

(9x + 1)² + (9x + 1)(1 - x) = (9x + 1)(9x + 1 + 1 - x) = (9x + 1)(8x + 2)

= (9x + 1)[2(4x + 1)]

(9x + 1)² + (9x + 1)(1 - x) = 2(9x + 1)(4x + 1)