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SOMEONE PLEASE HELP!
Can someone show me how to work this out?

SOMEONE PLEASE HELP! Can someone show me how to work this out?-example-1
User Alfunx
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1 Answer

6 votes

Answer:

2/(x+7)

Explanation:

x²+5x-14 factors as (x-2)(x+7)

SO - multiply the fraction on the right by x+7 (both top and bottom)

Then both have the same denominator (x-2)(x+7), and the 1 becomes x+7.

Then you combine the fractions to make ((3x+3)-(x+7))/(x-2)(x+7).

This becomes (2x-4)/(x-2)(x+7).

You can factor the 2 out of the numerator for 2(x-2).

You now have 2(x-2)/(x-2)(x+7)

The (x-2)’s cancel out and you are left with

2/(x+7)

User Adam Yost
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