What is ((-32x^5+24x^4-56x^3))/((-8x^4)) ?

The solution to ((-32x^5+24x^4-56x^3))/((-8x^4)) is -(-4x^2+3x-7)/x

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simplify ((-32x^5+24x^4-56x^3))/((-8x^4))

simplify

\frac{( - 32 x ^{5} + 24 x ^{4} - 56 x ^{3} )}{( - 8 x ^{4} )}

- \frac{- 4 x ^{2} + 3 x - 7}{x}

Solution steps

\frac{- 32 x ^{5} + 24 x ^{4} - 56 x ^{3}}{- 8 x ^{4}}

Factor

- 32 x^{5} + 24 x^{4} - 56 x^{3} : 8 x^{3} (- 4 x^{2} + 3 x - 7)

= \frac{8 x ^{3} ( - 4 x ^{2} + 3 x - 7 )}{- 8 x ^{4}}

Cancel the common factor:

8

= \frac{x ^{3} ( - 4 x ^{2} + 3 x - 7 )}{- x ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{4} = x^{3} x

= \frac{x ^{3} ( - 4 x ^{2} + 3 x - 7 )}{- x ^{3} x}

Cancel the common factor:

x^{3}

= \frac{- 4 x ^{2} + 3 x - 7}{- x}

Apply the fraction rule:

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

= - \frac{- 4 x ^{2} + 3 x - 7}{x}

(\frac{2 x - 2}{x})^{3}

8 (a + b)^{3} - (a - b)^{3}

(3 m^{2} + 5 n^{2})^{3}

a^{3} - 27 b^{3}

(x - 1) (x - 2) - (x - 3) (x - 4) + (x + 5) (x + 6)

What is ((-32x^5+24x^4-56x^3))/((-8x^4)) ?
The solution to ((-32x^5+24x^4-56x^3))/((-8x^4)) is -(-4x^2+3x-7)/x