Question

Simplify the polynomial expressions by combining like terms, and then multiply the resulting binomial expressions to find their product. (8x − 9 − 2x)(15 + 5x − 5)

Answer 1

For this case we have the following expression:
 $(8x - 9 - 2x) (15 + 5x - 5)$
 The first thing we must do is to rewrite the expression as the product of two binomials.
 To do this, we add similar terms.
 We have then:
 $(6x - 9) (5x + 10)$
 Then, doing distributive property we have:
 $30x ^ 2 + 60x - 45x - 90$
 Adding similar terms:
 $30x ^ 2 + 15x - 90$
 Answer:
 The simplified expression is:
 $30x ^ 2 + 15x - 90$