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)
For this case we have the following expression: [tex](8x - 9 - 2x) (15 + 5x - 5)
[/tex] 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: [tex](6x - 9) (5x + 10)
[/tex] Then, doing distributive property we have: [tex]30x ^ 2 + 60x - 45x - 90
[/tex] Adding similar terms: [tex]30x ^ 2 + 15x - 90[/tex] Answer: The simplified expression is: [tex]30x ^ 2 + 15x - 90[/tex]
