Question

Rewrite the. Expression below as two equivalent product of two binomials.

( x- 8 ) (4x + 5 ) - (x - 8 ) (2x - 4)

Answer 1

(x - 8)(4x + 5) - (x - 8)(2x - 4)

= (x - 8)(4x + 5 - (2x - 4)) because they share x - 8

= (x - 8)(4x + 5 - 2x + 4) distributed the negative

= (x - 8)(2x + 9) added like terms

Answer: (x - 8)(2x + 9)