What is expand-4xy^3(5x^2+8y) ?

The solution to expand-4xy^3(5x^2+8y) is -20x^3y^3-32xy^4

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expand-4xy^3(5x^2+8y)

expand

- 4 x y^{3} (5 x^{2} + 8 y)

- 20 x^{3} y^{3} - 32 x y^{4}

Solution steps

- 4 x y^{3} (5 x^{2} + 8 y)

Apply the distributive law:

a (b + c) = ab + a c

- 4 x y^{3} (5 x^{2} + 8 y) = - 4 x y^{3} \cdot 5 x^{2} - 4 x y^{3} \cdot 8 y

= - 4 x y^{3} \cdot 5 x^{2} - 4 x y^{3} \cdot 8 y

Simplify

- 4 x y^{3} \cdot 5 x^{2} - 4 x y^{3} \cdot 8 y : - 20 x^{3} y^{3} - 32 x y^{4}

= - 20 x^{3} y^{3} - 32 x y^{4}

(0 - a)^{2}

(\frac{3}{4} \cdot x^{2} \cdot y^{3} \cdot z^{4} + \frac{4}{6} \cdot a^{2} \cdot x^{2} \cdot y^{5})^{2}

- 6 x - 8 y

\frac{( m ^{8} - y ^{12} )}{( m ^{2} + y ^{3} )}

\frac{( ( \frac{x}{y} ) - ( \frac{y}{x} ) )}{( x ^{2} - y ^{2} )}

What is expand-4xy^3(5x^2+8y) ?
The solution to expand-4xy^3(5x^2+8y) is -20x^3y^3-32xy^4