What is ((45x^3-30x^2-25x))/((-5x)) ?

The solution to ((45x^3-30x^2-25x))/((-5x)) is -9x^2+6x+5

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simplify ((45x^3-30x^2-25x))/((-5x))

simplify

\frac{( 45 x ^{3} - 30 x ^{2} - 25 x )}{( - 5 x )}

- 9 x^{2} + 6 x + 5

Solution steps

\frac{45 x ^{3} - 30 x ^{2} - 25 x}{- 5 x}

Factor

45 x^{3} - 30 x^{2} - 25 x : 5 x (9 x^{2} - 6 x - 5)

= \frac{5 x ( 9 x ^{2} - 6 x - 5 )}{- 5 x}

Cancel the common factor:

5

= \frac{x ( 9 x ^{2} - 6 x - 5 )}{- x}

Cancel the common factor:

x

= \frac{9 x ^{2} - 6 x - 5}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (9 x^{2} - 6 x - 5)

Simplify

- (9 x^{2} - 6 x - 5) : - 9 x^{2} + 6 x + 5

= - 9 x^{2} + 6 x + 5

3 g^{3} h^{2} + 9 g^{5} h

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

x^{- 2} + 2 x + 4

3 x y - 5 y + 63 y - 2 x y - 3.3 - x y - 2 y

\frac{( 5 p )}{( ( p ^{5} \cdot q ) ^{3} )}

What is ((45x^3-30x^2-25x))/((-5x)) ?
The solution to ((45x^3-30x^2-25x))/((-5x)) is -9x^2+6x+5