Question

Simplify: x/4x+x²

Answer 1

ANSWER

B. 1/4+x ; where x ≠ -4,0

EXPLANATION

The given expression is:

$\frac{x}{4x + {x}^{2} }$

This expression is defined if and only if,

$(4x + {x}^{2} ) \ne 0$

$x(4 + x) \ne0$

$x\ne0 \: or \: x\ne - 4$

The greatest common factor in the denominator is x.

We factor the greatest common factor is

$\frac{x}{x(4 + x)}$

Cancel the common factors to ontain;

$\frac{1}{4+ x }$

The correct choice is B.