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Simplify: x/4x+x²

A. 1/4

B. 1/4+x ; where x ≠ -4,0

C. 1/4+x ; where x ≠ -4

D. 1/4x ; where x ≠ 0

1 Answer

3 votes

ANSWER

B. 1/4+x ; where x ≠ -4,0

Step-by-step explanation

The given expression is:


\frac{x}{4x + {x}^(2) }

This expression is defined if and only if,


(4x + {x}^(2) ) \\e 0


x(4 + x) \\e0


x\\e0 \: or \: x\\e - 4

The greatest common factor in the denominator is x.

We factor the greatest common factor is


(x)/(x(4 + x))

Cancel the common factors to ontain;


(1)/(4+ x )

The correct choice is B.

User Trevin Avery
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