What is expand-5xy^3(2x^3-x^2y-6) ?

The solution to expand-5xy^3(2x^3-x^2y-6) is -10x^4y^3+5x^3y^4+30xy^3

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expand-5xy^3(2x^3-x^2y-6)

expand

- 5 x y^{3} (2 x^{3} - x^{2} y - 6)

- 10 x^{4} y^{3} + 5 x^{3} y^{4} + 30 x y^{3}

Solution steps

- 5 x y^{3} (2 x^{3} - x^{2} y - 6)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- 5 x y^{3} (2 x^{3} - x^{2} y - 6) = - 5 x y^{3} \cdot 2 x^{3} - 5 x y^{3} (- x^{2} y) - 5 x y^{3} (- 6)

= - 5 x y^{3} \cdot 2 x^{3} - 5 x y^{3} (- x^{2} y) - 5 x y^{3} (- 6)

Simplify

- 5 x y^{3} \cdot 2 x^{3} - 5 x y^{3} (- x^{2} y) - 5 x y^{3} (- 6) : - 10 x^{4} y^{3} + 5 x^{3} y^{4} + 30 x y^{3}

= - 10 x^{4} y^{3} + 5 x^{3} y^{4} + 30 x y^{3}

- 27

5 3^{2}

(2 x + 5) (2 x^{2} + 7 x - 6)

(2 x - 6)^{3}

3 (x - 5)

What is expand-5xy^3(2x^3-x^2y-6) ?
The solution to expand-5xy^3(2x^3-x^2y-6) is -10x^4y^3+5x^3y^4+30xy^3