What is (32n^2-54m^2+12mn)/(8n-9m) ?

The solution to (32n^2-54m^2+12mn)/(8n-9m) is 4n+6m

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simplify (32n^2-54m^2+12mn)/(8n-9m)

simplify

\frac{32 n ^{2} - 54 m ^{2} + 12 mn}{8 n - 9 m}

4 n + 6 m

Solution steps

\frac{32 n ^{2} - 54 m ^{2} + 12 mn}{8 n - 9 m}

Factor

32 n^{2} - 54 m^{2} + 12 nm : 2 (16 n^{2} - 27 m^{2} + 6 nm)

= \frac{2 ( 16 n ^{2} - 27 m ^{2} + 6 nm )}{8 n - 9 m}

Factor

16 n^{2} - 27 m^{2} + 6 nm : (8 n - 9 m) (2 n + 3 m)

= \frac{2 ( 8 n - 9 m ) ( 2 n + 3 m )}{8 n - 9 m}

Cancel the common factor:

8 n - 9 m

= 2 (2 n + 3 m)

Expand

2 (2 n + 3 m) : 4 n + 6 m

= 4 n + 6 m

(r - 3)^{2}

\frac{n ^{2} ( n + 1 ) ^{2}}{4} + (n + 1)^{3}

4 ln (e)

- \frac{1}{5} + \frac{3}{5}

(x - 2) (x - 3)^{2}

What is (32n^2-54m^2+12mn)/(8n-9m) ?
The solution to (32n^2-54m^2+12mn)/(8n-9m) is 4n+6m