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

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

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

simplify

\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 out common term

8 k : 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}

n^{2} + 43 n + 432

- 1 \cdot (- x)

(x + 1 - i) (x + 1 + i)

(d - \frac{1}{n})^{2}

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