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How do I simpilfy these rational expressions?

0 votes

x^ + 5x + 6 / x^2 / x^2 - 3x - 10 / x^2

4x^2 / (1 + 2)^2 * x^2 - 5x - 6 / x

asked Jan 19, 2015 in ALGEBRA 2 by hana_24 Novice

2 Answers

+1 vote

(a)

Step 1:

The expression is image.

 

Re-write the expression.

image

Cancel the common terms.

image

Factorize both the numerator and the denominator.

image

Cancel the common terms.

image

Solution :

image

answered Jan 19, 2015 by Lucy Mentor
I am confused how you got (x + 3)(x + 2) / ( x - 5)(x + 2)... where did the (x + 2) come from??

Follow the steps:

image

Factorize both the numerator and the denominator.

image

image

Take out  image as a common factor from the numerator and image as a common factor from the denominator.

image

image

+1 vote

(b)

Step 1:

The expression is image.

Cancel the common terms.

image

Re-write the expression.

image

Cancel the common terms.

image

image

Solution :

image

answered Jan 19, 2015 by Lucy Mentor

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