Answer: B

Step-by-step explanation:

Solution

Factoring the numerator and denominator to get;

⟹ (x + 1) (x + 4) (x + 5)/(x + 1) (x – 1)

Now cancel the common terms.

⟹ (x + 4) (x + 5)/(x – 1)

Example 2

Simplify (x2 – 4) / (x2+ 4x + 4)

Solution

Factor both the numerator and denominator to get.

⟹ (x + 2) (x – 2) / (x + 2) (x + 2)

Now cancel out common factors in the numerator and denominator to get.

= (x – 2) / (x + 2)

Example 3

Simplify the rational expression x / (x2 – 4x)

Solution

Factor x out in the denominator to get;

⟹x /x (x – 4)

On cancelling the common terms in the top and bottom, we get;

= 1 / (x – 4)

Example 4

Simplify the rational expression (5x + 20) / (7x + 28)

Solution

Factor out the GCF in both the numerator and denominator;

= (5x + 20) / (7x + 28) ⟹ 5(x + 4) / 7(x + 4)

On cancelling common terms, we get;

= 5/7

Example 5

Simplify the rational expression (x2 + 7x + 10) / (x2 –  4)  

Hope it helps ! :)