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`