What is ((35n^3-30n^2+25n))/((-5n)) ?

The solution to ((35n^3-30n^2+25n))/((-5n)) is -7n^2+6n-5

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simplify ((35n^3-30n^2+25n))/((-5n))

simplify

\frac{( 35 n ^{3} - 30 n ^{2} + 25 n )}{( - 5 n )}

- 7 n^{2} + 6 n - 5

Solution steps

\frac{35 n ^{3} - 30 n ^{2} + 25 n}{- 5 n}

Factor

35 n^{3} - 30 n^{2} + 25 n : 5 n (7 n^{2} - 6 n + 5)

= \frac{5 n ( 7 n ^{2} - 6 n + 5 )}{- 5 n}

Cancel the common factor:

5

= \frac{n ( 7 n ^{2} - 6 n + 5 )}{- n}

Cancel the common factor:

n

= \frac{7 n ^{2} - 6 n + 5}{- 1}

Apply the fraction rule:

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

= - (7 n^{2} - 6 n + 5)

Simplify

- (7 n^{2} - 6 n + 5) : - 7 n^{2} + 6 n - 5

= - 7 n^{2} + 6 n - 5

(- 7 x^{2}) (4 x)

\frac{1}{x ^{- 7}}

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

\frac{1 + tan ( x )}{sec ( x )}

- 8 \cdot (- 6)

What is ((35n^3-30n^2+25n))/((-5n)) ?
The solution to ((35n^3-30n^2+25n))/((-5n)) is -7n^2+6n-5