What is expand-3mn(m^2n^3+2mn) ?

The solution to expand-3mn(m^2n^3+2mn) is -3m^3n^4-6m^2n^2

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expand-3mn(m^2n^3+2mn)

expand

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

- 3 m^{3} n^{4} - 6 m^{2} n^{2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

- 3 mn (m^{2} n^{3} + 2 mn) = - 3 mn m^{2} n^{3} - 3 mn \cdot 2 mn

= - 3 mn m^{2} n^{3} - 3 mn \cdot 2 mn

Simplify

- 3 mn m^{2} n^{3} - 3 mn \cdot 2 mn : - 3 m^{3} n^{4} - 6 m^{2} n^{2}

= - 3 m^{3} n^{4} - 6 m^{2} n^{2}

6 \frac{1}{4} \div 4 \frac{1}{2}

28 x^{6} y^{9}

(x - 25)^{2}

x^{4} y - x y^{4}

x^{4} y^{3} + y

What is expand-3mn(m^2n^3+2mn) ?
The solution to expand-3mn(m^2n^3+2mn) is -3m^3n^4-6m^2n^2