What is expand (4mn^2+pn^2)/(32km+8kp) ?

The solution to expand (4mn^2+pn^2)/(32km+8kp) is (n^2)/(8k)

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expand (4mn^2+pn^2)/(32km+8kp)

expand

\frac{4 m n ^{2} + p n ^{2}}{32 km + 8 k p}

\frac{n ^{2}}{8 k}

Solution steps

\frac{4 m n ^{2} + p n ^{2}}{32 km + 8 k p}

Factor out common term

n^{2}

= \frac{n ^{2} ( 4 m + p )}{32 km + 8 k p}

Factor

32 km + 8 k p : 8 k (4 m + p)

= \frac{n ^{2} ( 4 m + p )}{8 k ( 4 m + p )}

Cancel the common factor:

4 m + p

= \frac{n ^{2}}{8 k}

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\frac{- \frac{16}{5}}{t + 3} + \frac{\frac{11}{5}}{t - 2}

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What is expand (4mn^2+pn^2)/(32km+8kp) ?
The solution to expand (4mn^2+pn^2)/(32km+8kp) is (n^2)/(8k)