Question

Simplify

Answer 1

\[\frac{ 2x }{ 2x-y } - \frac{ 4x ^{2}+y^{2} }{ 4x^{2}-y^{2} } + \frac{ y }{ 2x+y }\]

Answer 2

First find the common denominator and multiply the numerators and denominators of all the fractions by it. can u pls tell me what u get when u do so? @RH

Answer 3

would 4x^2-y^2 be a common denominator?

Answer 4

yes.:)

Answer 5

well look at the common denominator just factor the denominator of the middle fraction and you get

\[\frac{2x}{2x -y}\times \frac{2x +y}{2x + y} - \frac{4x^2 +y^2}{(2x -y)(2x + y)}\frac{y}{2x + y}\times \frac{2x -y}{2x -y}\]

just simplify b distributing and collecting like terms.

Answer 6

oops missing a + between the middle fraction and the last fraction./

Answer 7

between where? 4x^2+y^2/(2x-y)(2x+y) and y/2x+y?

Answer 8

@campbell_st

Answer 9

yes

Answer 10

how do I simplify? :(

Answer 11

nw combine the like terms in the numerator