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

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

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expand-2x(xy-3y^2+x)

expand

- 2 x (x y - 3 y^{2} + x)

- 2 x^{2} y + 6 x y^{2} - 2 x^{2}

Solution steps

- 2 x (x y - 3 y^{2} + x)

Apply the distributive law:

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

- 2 x (x y - 3 y^{2} + x) = - 2 xx y - 2 x (- 3 y^{2}) - 2 xx

= - 2 xx y - 2 x (- 3 y^{2}) - 2 xx

Simplify

- 2 xx y - 2 x (- 3 y^{2}) - 2 xx : - 2 x^{2} y + 6 x y^{2} - 2 x^{2}

= - 2 x^{2} y + 6 x y^{2} - 2 x^{2}

\frac{5}{4 x + 3} - \frac{- 4}{4 x + 3}

\frac{12}{64}

(4 x - 7 y)^{2}

x^{4} - 25 y^{2}

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