What is expand-2x^2(x^2y-x-1) ?

The solution to expand-2x^2(x^2y-x-1) is -2x^4y+2x^3+2x^2

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expand-2x^2(x^2y-x-1)

expand

- 2 x^{2} (x^{2} y - x - 1)

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

Solution steps

- 2 x^{2} (x^{2} y - x - 1)

Apply the distributive law:

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

- 2 x^{2} (x^{2} y - x - 1) = - 2 x^{2} x^{2} y - 2 x^{2} (- x) - 2 x^{2} (- 1)

= - 2 x^{2} x^{2} y - 2 x^{2} (- x) - 2 x^{2} (- 1)

Simplify

- 2 x^{2} x^{2} y - 2 x^{2} (- x) - 2 x^{2} (- 1) : - 2 x^{4} y + 2 x^{3} + 2 x^{2}

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

2 x^{4} - 3 x^{4}

- 2 (- x)^{2}

125 - 27 b^{3}

\frac{6}{60}

\frac{3}{5} - \frac{4}{10}

What is expand-2x^2(x^2y-x-1) ?
The solution to expand-2x^2(x^2y-x-1) is -2x^4y+2x^3+2x^2