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Chapter 7: Q 278. (page 868)

Maribel factored y2-30y+81as (y-9)2.Was she right or wrong? How do you know?

Short Answer

Expert verified

Her answer is wrong since it does not equal to y2-30y+81.

Her answer should be (y-3)(y-27).

Step by step solution

01

Given information

The expressions are y2-30y+81 and (y-9)2.

02

Express the given square binomial.

Expand the binomial using the perfect square trinomial:

(y-9)2=y2-2路y路9+92=y2-18y+81

03

Find the factor and explain.

Since the given polynomial is not equal to y2-18y+81, it follows that her answer is wrong.

Factor the given polynomial:

y2-30y+81=y2-27y-3y+81=y(y-27)-3(y-27)=(y-3)(y-27).

It follows that her answer is wrong since it does not equal toy2-30y+81.

Her answer should be (y-3)(y-27).

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