What is expand-4x^2y(x^2+7xy-6y^3) ?

The solution to expand-4x^2y(x^2+7xy-6y^3) is -4x^4y-28x^3y^2+24x^2y^4

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expand-4x^2y(x^2+7xy-6y^3)

expand

- 4 x^{2} y (x^{2} + 7 x y - 6 y^{3})

- 4 x^{4} y - 28 x^{3} y^{2} + 24 x^{2} y^{4}

Solution steps

- 4 x^{2} y (x^{2} + 7 x y - 6 y^{3})

Apply the distributive law:

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

- 4 x^{2} y (x^{2} + 7 x y - 6 y^{3}) = - 4 x^{2} y x^{2} - 4 x^{2} y \cdot 7 x y - 4 x^{2} y (- 6 y^{3})

= - 4 x^{2} y x^{2} - 4 x^{2} y \cdot 7 x y - 4 x^{2} y (- 6 y^{3})

Simplify

- 4 x^{2} y x^{2} - 4 x^{2} y \cdot 7 x y - 4 x^{2} y (- 6 y^{3}) : - 4 x^{4} y - 28 x^{3} y^{2} + 24 x^{2} y^{4}

= - 4 x^{4} y - 28 x^{3} y^{2} + 24 x^{2} y^{4}

(2 u - t)^{2}

0. 1^{- 3}

(2 x - y + z)^{2}

\frac{1}{2} \div 3 \frac{1}{4}

7 (- 9)

What is expand-4x^2y(x^2+7xy-6y^3) ?
The solution to expand-4x^2y(x^2+7xy-6y^3) is -4x^4y-28x^3y^2+24x^2y^4