What is (27m^4n^6-15m^3n^6+3mn^2)/(3mn^2) ?

The solution to (27m^4n^6-15m^3n^6+3mn^2)/(3mn^2) is 9m^3n^4-5m^2n^4+1

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simplify (27m^4n^6-15m^3n^6+3mn^2)/(3mn^2)

simplify

\frac{27 m ^{4} n ^{6} - 15 m ^{3} n ^{6} + 3 m n ^{2}}{3 m n ^{2}}

9 m^{3} n^{4} - 5 m^{2} n^{4} + 1

Solution steps

\frac{27 m ^{4} n ^{6} - 15 m ^{3} n ^{6} + 3 m n ^{2}}{3 m n ^{2}}

Factor

27 m^{4} n^{6} - 15 m^{3} n^{6} + 3 m n^{2} : 3 m n^{2} (9 m^{3} n^{4} - 5 m^{2} n^{4} + 1)

= \frac{3 m n ^{2} ( 9 m ^{3} n ^{4} - 5 m ^{2} n ^{4} + 1 )}{3 m n ^{2}}

Cancel the common factor:

3

= \frac{m n ^{2} ( 9 m ^{3} n ^{4} - 5 m ^{2} n ^{4} + 1 )}{m n ^{2}}

Cancel the common factor:

m

= \frac{n ^{2} ( 9 m ^{3} n ^{4} - 5 m ^{2} n ^{4} + 1 )}{n ^{2}}

Cancel the common factor:

n^{2}

= 9 m^{3} n^{4} - 5 m^{2} n^{4} + 1

\frac{x ^{2}}{x + 1}

(2 x - 9) (3 x - 5)

\frac{x}{- 2}

(x - 3)^{7}

\frac{18 - i}{- 3 - 4 i}

What is (27m^4n^6-15m^3n^6+3mn^2)/(3mn^2) ?
The solution to (27m^4n^6-15m^3n^6+3mn^2)/(3mn^2) is 9m^3n^4-5m^2n^4+1