What is expand 5xy^2(x^2y^3-14xy) ?

The solution to expand 5xy^2(x^2y^3-14xy) is 5x^3y^5-70x^2y^3

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expand 5xy^2(x^2y^3-14xy)

expand

5 x y^{2} (x^{2} y^{3} - 14 x y)

5 x^{3} y^{5} - 70 x^{2} y^{3}

Solution steps

5 x y^{2} (x^{2} y^{3} - 14 x y)

Apply the distributive law:

a (b - c) = ab - a c

5 x y^{2} (x^{2} y^{3} - 14 x y) = 5 x y^{2} x^{2} y^{3} - 5 x y^{2} \cdot 14 x y

= 5 x y^{2} x^{2} y^{3} - 5 x y^{2} \cdot 14 x y

Simplify

5 x y^{2} x^{2} y^{3} - 5 x y^{2} \cdot 14 x y : 5 x^{3} y^{5} - 70 x^{2} y^{3}

= 5 x^{3} y^{5} - 70 x^{2} y^{3}

(3.7 x + 1.5 y - 7 c) - (1.2 x - 1.3 y + 5 c)

8 t^{3} - 1

\frac{55}{15}

- \frac{11}{4} + (- \frac{7}{10})

(9 + h)^{3}

What is expand 5xy^2(x^2y^3-14xy) ?
The solution to expand 5xy^2(x^2y^3-14xy) is 5x^3y^5-70x^2y^3