What is (5n^2-11mn+6m^2)/(m-n) ?

The solution to (5n^2-11mn+6m^2)/(m-n) is -5n+6m

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simplify (5n^2-11mn+6m^2)/(m-n)

simplify

\frac{5 n ^{2} - 11 mn + 6 m ^{2}}{m - n}

- 5 n + 6 m

Solution steps

\frac{5 n ^{2} - 11 mn + 6 m ^{2}}{m - n}

Factor

5 n^{2} - 11 nm + 6 m^{2} : (n - m) (5 n - 6 m)

= \frac{( n - m ) ( 5 n - 6 m )}{m - n}

m - n = - (n - m)

= \frac{( n - m ) ( 5 n - 6 m )}{- ( n - m )}

Cancel the common factor:

n - m

= \frac{5 n - 6 m}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (5 n - 6 m)

Simplify

- (5 n - 6 m) : - 5 n + 6 m

= - 5 n + 6 m

64 r^{3} - t^{3}

(- 9 - 63) (- - 49)

\frac{x ^{2} + 3 x}{x ^{2} + 5 x + 6}

(4 x - 2)^{3}

- 3 \times 5

What is (5n^2-11mn+6m^2)/(m-n) ?
The solution to (5n^2-11mn+6m^2)/(m-n) is -5n+6m