What is 2/(x+2)-4/((x+2)^2) ?

The solution to 2/(x+2)-4/((x+2)^2) is (2x)/((x+2)^2)

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simplify 2/(x+2)-4/((x+2)^2)

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + 2, (x + 2)^{2} : (x + 2)^{2}

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 2) - 4 : 2 x

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

x^{2} + 15 x - 54

\frac{x ^{6} - y ^{6}}{x + y}

4 - \frac{7}{2}

(\frac{5}{4} - s)^{2}

(a + b - c) (a - b + c)

What is 2/(x+2)-4/((x+2)^2) ?
The solution to 2/(x+2)-4/((x+2)^2) is (2x)/((x+2)^2)