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Chapter 6: Q. 153E (page 590)

In the following exercises, factor each expression using any method(x+3)2鈭�9(x+3)-36

Short Answer

Expert verified

The factors arex-9x+6

Step by step solution

01

Step 1. Given Information

The trinomial is(x+3)2鈭�9(x+3)-36

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

(x+3)2鈭�9(x+3)-36

Substitute(x+3)=u

So, trinomial becomesu2鈭�9u-36

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2鈭�12u+3u-36

Factor it

uu鈭�12+3u-12u-12u+3

04

Step 4. Substitute back u

Substitute backu=x+3

x+3-12x+3+3x-9x+6

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