What is (7n)/(24n^3-64n^2)*(9n-24)/(7n) ?

The solution to (7n)/(24n^3-64n^2)*(9n-24)/(7n) is 3/(8n^2)

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simplify (7n)/(24n^3-64n^2)*(9n-24)/(7n)

simplify

\frac{7 n}{24 n ^{3} - 64 n ^{2}} \cdot \frac{9 n - 24}{7 n}

\frac{3}{8 n ^{2}}

Solution steps

\frac{7 n}{24 n ^{3} - 64 n ^{2}} \cdot \frac{9 n - 24}{7 n}

Cross-cancel common factor:

7 n

= \frac{9 n - 24}{24 n ^{3} - 64 n ^{2}}

Factor

9 n - 24 : 3 (3 n - 8)

= \frac{3 ( 3 n - 8 )}{24 n ^{3} - 64 n ^{2}}

Factor

24 n^{3} - 64 n^{2} : 8 n^{2} (3 n - 8)

= \frac{3 ( 3 n - 8 )}{8 n ^{2} ( 3 n - 8 )}

Cancel the common factor:

3 n - 8

= \frac{3}{8 n ^{2}}

8^{\frac{1}{3}}

s^{2} - 27 s = 0

\frac{1}{\frac{1}{20} + \frac{1}{20}}

3 x = 4

5 \cdot \frac{1}{5} + \frac{1}{5} \cdot 15

What is (7n)/(24n^3-64n^2)*(9n-24)/(7n) ?
The solution to (7n)/(24n^3-64n^2)*(9n-24)/(7n) is 3/(8n^2)