Hank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive prop

Question

3 years ago

15

Hank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive prop

erty to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?

Mathematics

2 answers:

kicyunya [14] · Answer 1 · 2022-03-14T01:23:15+03:00

kicyunya [14]3 years ago

7 0

Answer:

a = 9

Step-by-step explanation:

expand (y - 3)(y² + 3y + 9)

= y³ + 3y² + 9y - 3y² - 9y - 27

compare the coefficients of like terms with

y³ + 3y² + ay - 3y² - ay - 27

ay = 9y and - ay = - 9y ⇒ a = 9

Viktor [21] · Answer 2 · 2022-03-14T03:29:09+03:00

Viktor [21]3 years ago

4 0

Answer:

C.

Step-by-step explanation:

edg.