What is expand ((-12x^4+6x^3-18x^2))/(6x) ?

The solution to expand ((-12x^4+6x^3-18x^2))/(6x) is -2x^3+x^2-3x

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expand ((-12x^4+6x^3-18x^2))/(6x)

expand

\frac{( - 12 x ^{4} + 6 x ^{3} - 18 x ^{2} )}{6 x}

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

Solution steps

\frac{- 12 x ^{4} + 6 x ^{3} - 18 x ^{2}}{6 x}

Factor

- 12 x^{4} + 6 x^{3} - 18 x^{2} : 6 x^{2} (- 2 x^{2} + x - 3)

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

Cancel

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

= x (- 2 x^{2} + x - 3)

Distribute parentheses

= x (- 2 x^{2}) + xx + x (- 3)

Apply minus-plus rules

+ (- a) = - a

= - 2 x^{2} x + xx - 3 x

Simplify

- 2 x^{2} x + xx - 3 x : - 2 x^{3} + x^{2} - 3 x

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

(x + y + 1) d x + (2 x + 2 y + 1) d y

x (x - 2)^{2}

(- 1 - 3)^{4}

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

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

What is expand ((-12x^4+6x^3-18x^2))/(6x) ?
The solution to expand ((-12x^4+6x^3-18x^2))/(6x) is -2x^3+x^2-3x