What is expand ((3x^2y^2+6ax^3))/(-3x^2) ?

The solution to expand ((3x^2y^2+6ax^3))/(-3x^2) is -y^2-2ax

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expand ((3x^2y^2+6ax^3))/(-3x^2)

expand

\frac{( 3 x ^{2} y ^{2} + 6 a x ^{3} )}{- 3 x ^{2}}

- y^{2} - 2 a x

Solution steps

\frac{3 x ^{2} y ^{2} + 6 a x ^{3}}{- 3 x ^{2}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{3 x ^{2} y ^{2} + 6 a x ^{3}}{3 x ^{2}}

Cancel

\frac{3 x ^{2} y ^{2} + 6 a x ^{3}}{3 x ^{2}} : 2 a x + y^{2}

= - (2 a x + y^{2})

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= - y^{2} - 2 a x

\frac{A}{( x - D ) ^{2}}

\frac{( 4 - 2 x ) ( 5 - 3 x )}{25 - 9 x}

(2 x + \frac{1}{x})^{6}

\frac{\partial}{\partial x} ((z) (2 x^{2} + y^{2}))

A (- 4, - 7)

What is expand ((3x^2y^2+6ax^3))/(-3x^2) ?
The solution to expand ((3x^2y^2+6ax^3))/(-3x^2) is -y^2-2ax