What is factor 16m^3n^2+20m^2n^3 ?

The solution to factor 16m^3n^2+20m^2n^3 is 4m^2n^2(4m+5n)

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factor 16m^3n^2+20m^2n^3

factor

16 m^{3} n^{2} + 20 m^{2} n^{3}

4 m^{2} n^{2} (4 m + 5 n)

Solution steps

16 m^{3} n^{2} + 20 m^{2} n^{3}

Apply exponent rule:

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

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

= 16 m^{2} m n^{2} + 20 m^{2} n^{2} n

Rewrite

20

5 \cdot 4

Rewrite

16

4 \cdot 4

= 4 \cdot 4 m^{2} m n^{2} + 5 \cdot 4 m^{2} n^{2} n

Factor out common term

4 m^{2} n^{2}

= 4 m^{2} n^{2} (4 m + 5 n)

lo g_{2} (1 0^{10})

\frac{3}{x - 3} - \frac{5}{x + 2}

\frac{73}{4}

h (6)

What is factor 16m^3n^2+20m^2n^3 ?
The solution to factor 16m^3n^2+20m^2n^3 is 4m^2n^2(4m+5n)