What is y/(4y+8)-1/(y^2+2y) ?

The solution to y/(4y+8)-1/(y^2+2y) is (y-2)/(4y)

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simplify y/(4y+8)-1/(y^2+2y)

simplify

\frac{y}{4 y + 8} - \frac{1}{y ^{2} + 2 y}

\frac{y - 2}{4 y}

Solution steps

\frac{y}{4 y + 8} - \frac{1}{y ^{2} + 2 y}

Least Common Multiplier of

4 y + 8, y^{2} + 2 y : 4 y (y + 2)

Adjust Fractions based on the LCM

= \frac{y ^{2}}{4 y ( y + 2 )} - \frac{4}{4 y ( y + 2 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{y ^{2} - 4}{4 y ( y + 2 )}

Cancel

\frac{y ^{2} - 4}{4 y ( y + 2 )} : \frac{y - 2}{4 y}

= \frac{y - 2}{4 y}

8 x^{6}

(1 + 2 x)^{6}

(1 + 2 x)^{8}

2 0^{- 1}

(- t^{7}) (- t^{5})