簡約 (12m^2n^2+16m^3n^3-20m^4n^2)/(4m^2n^2)

解

簡約

\frac{12 m ^{2} n ^{2} + 16 m ^{3} n ^{3} - 20 m ^{4} n ^{2}}{4 m ^{2} n ^{2}}

3 + 4 mn - 5 m^{2}

解答ステップ

\frac{12 m ^{2} n ^{2} + 16 m ^{3} n ^{3} - 20 m ^{4} n ^{2}}{4 m ^{2} n ^{2}}

因数

12 m^{2} n^{2} + 16 m^{3} n^{3} - 20 m^{4} n^{2} : 4 m^{2} n^{2} (3 + 4 mn - 5 m^{2})

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

共通因数を約分する:

4

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

共通因数を約分する:

m^{2}

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

共通因数を約分する:

n^{2}

= 3 + 4 mn - 5 m^{2}