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

The solution to expand 2x^2(x^2y-5xy+3y) is 2x^4y-10x^3y+6x^2y

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

expand

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

2 x^{4} y - 10 x^{3} y + 6 x^{2} y

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

2 x^{2} x^{2} y + 2 x^{2} (- 5 x y) + 2 x^{2} \cdot 3 y : 2 x^{4} y - 10 x^{3} y + 6 x^{2} y

= 2 x^{4} y - 10 x^{3} y + 6 x^{2} y

n^{2} - 10 n + 25

(2 x - 1)^{2}

\frac{2 π}{\frac{8}{3}}

\frac{6 x ^{2} - 11 x - 30}{2 x + 3}

\frac{2}{3 - 3}

What is expand 2x^2(x^2y-5xy+3y) ?
The solution to expand 2x^2(x^2y-5xy+3y) is 2x^4y-10x^3y+6x^2y