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

The solution to expand-3x^2y^3(x^3-y^2) is -3x^5y^3+3x^2y^5

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

expand

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

- 3 x^{5} y^{3} + 3 x^{2} y^{5}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

- 3 x^{2} y^{3} x^{3} - (- 3 x^{2} y^{3}) y^{2} : - 3 x^{5} y^{3} + 3 x^{2} y^{5}

= - 3 x^{5} y^{3} + 3 x^{2} y^{5}

y (x - 3) - x + 3

x^{2} + 3^{2}

(9 - 81) (- 1064)

- 6 + (- 12)

\frac{3 u ^{4} v ^{4} - 2 u ^{5} v ^{2} + ( u ^{2} v ^{2} ) ^{2}}{u ^{3} v ^{2}}

What is expand-3x^2y^3(x^3-y^2) ?
The solution to expand-3x^2y^3(x^3-y^2) is -3x^5y^3+3x^2y^5