Simplify. x/4x + x^2

A. 1/4
B. 1/x + 4; where x / -4, 0
C. 1/4 + 1/x; where x = 0
D. 1/x; where x = 0

Thank you.

Question

Simplify. x/4x + x^2

A. 1/4
B. 1/x + 4; where x / -4, 0 
C. 1/4 + 1/x; where x = 0
D. 1/x; where x = 0

Thank you.

anonymous · Answer

Oh and all of the = signs have a little line through them.

anonymous · Answer

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campbell_st · Answer

factorise the denominator

$$\frac{x}{x(4 + x)}$$

remove the common factor of x

now you can't have a zero denominator so x cannot equal 0 or 4 as this makes the expression undefined

campbell_st · Answer

oops should have written it as

$$\frac{x}{x(x +4)}$$

anonymous · Answer

So is it C?

campbell_st · Answer

oops another typo you can't have 0 or -4 in the denominator

the fraction becomes 

$$\frac{1}{x +4}$$

campbell_st · Answer

choose B

anonymous · Answer

Oh okay. I almost said B but you said 4 before. Thanks for pointing that out to me. Thanks for the help.