Question
Asked Oct 22, 2019

Write the rational expression in lowest term.

6x+21/8x+28

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Expert Answer

Step 1

We need to factor the numerator and denominator of the expression first.

We would factor the top and bottom by factoring greatest common factor (GCF).

Step 2

GCF of 6x+21 is 3. Factoring GCF 3.

GCF of 8x+28 is 4. Factoring GCF 4.

6x21
8x 28
6x 21 3(2.x + 7)
8x 28 4(2x +7)
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6x21 8x 28 6x 21 3(2.x + 7) 8x 28 4(2x +7)

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Step 3

Substituting factored form and cross out common factors in top and bottom...

6x 21
3(2x+7)
8x 28
4(2x7)
help_outline

Image Transcriptionclose

6x 21 3(2x+7) 8x 28 4(2x7)

fullscreen

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Algebra

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