What is expand-4x^2(xy^2+3x^-4) ?

The solution to expand-4x^2(xy^2+3x^-4) is -4x^3y^2-48x^2

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expand-4x^2(xy^2+3x^-4)

expand

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

- 4 x^{3} y^{2} - 48 x^{2}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = - 4 x^{2}, b = x y^{2}, c = 3 x^{-} \cdot 4

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

Apply minus-plus rules

+ (- a) = - a

= - 4 x^{2} x y^{2} - 4 \cdot 3 \cdot 4 x^{2} x^{-}

Simplify

- 4 x^{2} x y^{2} - 4 \cdot 3 \cdot 4 x^{2} x^{-} : - 4 x^{3} y^{2} - 48 x^{2}

= - 4 x^{3} y^{2} - 48 x^{2}

(1, 1, 4) (x^{2}, x, - 3)

e x^{2} \cdot (4 x^{2} + 3 cos (y))

\frac{10}{( s + 4 ) ( s + 2 ) ^{2}}

- \frac{1}{y ( y - 1 )}

\frac{1}{2 ( 10 - 6 y )}

What is expand-4x^2(xy^2+3x^-4) ?
The solution to expand-4x^2(xy^2+3x^-4) is -4x^3y^2-48x^2