How do I simpilfy these rational expressions?

Question

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

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

Answer 1

(a)

Step 1:

The expression is .

 

Re-write the expression.

Cancel the common terms.

Factorize both the numerator and the denominator.

Cancel the common terms.

Solution :

Comments

I am confused how you got (x + 3)(x + 2) / ( x - 5)(x + 2)... where did the (x + 2) come from??

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Follow the steps:

Factorize both the numerator and the denominator.

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

Answer 2

(b)

Step 1:

The expression is .

Cancel the common terms.

Re-write the expression.

Cancel the common terms.

Solution :