What is factor 100m^2n^3-50m^3n^4+150m^2n^2 ?

The solution to factor 100m^2n^3-50m^3n^4+150m^2n^2 is 50m^2n^2(2n-mn^2+3)

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factor 100m^2n^3-50m^3n^4+150m^2n^2

factor

100 m^{2} n^{3} - 50 m^{3} n^{4} + 150 m^{2} n^{2}

50 m^{2} n^{2} (2 n - m n^{2} + 3)

Solution steps

100 m^{2} n^{3} - 50 m^{3} n^{4} + 150 m^{2} n^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{2} n^{3} = m^{2} n^{2} n, m^{3} n^{4} = m^{2} m n^{2} n^{2}

= 100 m^{2} n^{2} n - 50 m^{2} m n^{2} n^{2} + 150 m^{2} n^{2}

Rewrite

150

3 \cdot 50

Rewrite

100

2 \cdot 50

= 2 \cdot 50 m^{2} n^{2} n - 50 m^{2} m n^{2} n^{2} + 3 \cdot 50 m^{2} n^{2}

Factor out common term

50 m^{2} n^{2}

= 50 m^{2} n^{2} (2 n - m n^{2} + 3)

(x^{4} \cdot y^{2} + x^{2} \cdot y^{4})^{2} - 4 x^{6} \cdot y^{6}

\frac{( x - 2 )}{( ( x - 2 ) ( x + 1 ) )}

(lo g_{10} (a) lo g_{10} (c) b lo g_{10} (a))^{3}

2 - (\frac{3 x}{7})

\frac{1 - tan ^{2} ( x ) + 1}{cos ^{2} ( x )}

What is factor 100m^2n^3-50m^3n^4+150m^2n^2 ?
The solution to factor 100m^2n^3-50m^3n^4+150m^2n^2 is 50m^2n^2(2n-mn^2+3)