What is (3x^2+9x^3-12x^4)/(-3x^2) ?

The solution to (3x^2+9x^3-12x^4)/(-3x^2) is (4x+1)(x-1)

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simplify (3x^2+9x^3-12x^4)/(-3x^2)

simplify

\frac{3 x ^{2} + 9 x ^{3} - 12 x ^{4}}{- 3 x ^{2}}

(4 x + 1) (x - 1)

Solution steps

\frac{3 x ^{2} + 9 x ^{3} - 12 x ^{4}}{- 3 x ^{2}}

Factor

3 x^{2} + 9 x^{3} - 12 x^{4} : - 3 x^{2} (4 x + 1) (x - 1)

= \frac{- 3 x ^{2} ( 4 x + 1 ) ( x - 1 )}{- 3 x ^{2}}

Cancel the common factor:

- 3

= \frac{x ^{2} ( 4 x + 1 ) ( x - 1 )}{x ^{2}}

Cancel the common factor:

x^{2}

= (4 x + 1) (x - 1)

\frac{8 x}{x + 1} - \frac{10 x}{x + 1}

1 + sinh^{2} (x)

\frac{( x + 2 ) ( x - 6 )}{x + 2}

i^{3} (i^{2} + i^{5})

What is (3x^2+9x^3-12x^4)/(-3x^2) ?
The solution to (3x^2+9x^3-12x^4)/(-3x^2) is (4x+1)(x-1)