What is expand xy^2(x^2-2y+4) ?

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

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expand xy^2(x^2-2y+4)

expand

x y^{2} (x^{2} - 2 y + 4)

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

Solution steps

x y^{2} (x^{2} - 2 y + 4)

Apply the distributive law:

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

x y^{2} (x^{2} - 2 y + 4) = x y^{2} x^{2} + x y^{2} (- 2 y) + x y^{2} \cdot 4

= x y^{2} x^{2} + x y^{2} (- 2 y) + x y^{2} \cdot 4

Simplify

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

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

\frac{7 x ^{2} - 27 x - 4}{x - 4}

(2.5)^{3}

f (g (h (x)))

- 12 + (- 4)

3^{4} \cdot 3^{7}

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