What is expand (8x^2y-3y^2)(2ax^3) ?

The solution to expand (8x^2y-3y^2)(2ax^3) is 16ax^5y-6ax^3y^2

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expand (8x^2y-3y^2)(2ax^3)

expand

(8 x^{2} y - 3 y^{2}) (2 a x^{3})

16 a x^{5} y - 6 a x^{3} y^{2}

Solution steps

(8 x^{2} y - 3 y^{2}) (2 a x^{3})

= (2 a x^{3}) (8 x^{2} y - 3 y^{2})

Apply the distributive law:

a (b - c) = ab - a c

(2 a x^{3}) (8 x^{2} y - 3 y^{2}) = 2 a x^{3} \cdot 8 x^{2} y - 2 a x^{3} \cdot 3 y^{2}

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

Simplify

2 a x^{3} \cdot 8 x^{2} y - 2 a x^{3} \cdot 3 y^{2} : 16 a x^{5} y - 6 a x^{3} y^{2}

= 16 a x^{5} y - 6 a x^{3} y^{2}

- 8 y - 2 y - 4 + 4 y

9 (- 7)

\frac{- 8}{3 + 17}

50 p^{3} + 50 p^{2} - 20

\frac{14}{15}

What is expand (8x^2y-3y^2)(2ax^3) ?
The solution to expand (8x^2y-3y^2)(2ax^3) is 16ax^5y-6ax^3y^2