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

(a^{2} + 1) - b (a^{2} + 1)

3 (3 i - 1) + 4 (1 - 2 i)

1.1 5^{2}

x (x + 3)

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