What is (4x^8-10x^6-5x^4)/(2x^3) ?

The solution to (4x^8-10x^6-5x^4)/(2x^3) is (x(4x^4-10x^2-5))/2

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simplify (4x^8-10x^6-5x^4)/(2x^3)

simplify

\frac{4 x ^{8} - 10 x ^{6} - 5 x ^{4}}{2 x ^{3}}

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

Solution steps

\frac{4 x ^{8} - 10 x ^{6} - 5 x ^{4}}{2 x ^{3}}

Factor

4 x^{8} - 10 x^{6} - 5 x^{4} : x^{4} (4 x^{4} - 10 x^{2} - 5)

= \frac{x ^{4} ( 4 x ^{4} - 10 x ^{2} - 5 )}{2 x ^{3}}

Apply exponent rule:

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

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

= \frac{x ^{3} x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2 x ^{3}}

Cancel the common factor:

x^{3}

= \frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

- 3 (x - 5)

\frac{- 7 + 3 i}{5 + 2 i}

(\frac{6 m ^{2} n p ^{- 1}}{- 3 p ^{2} r ^{- 2}})^{4}

(3 - y)^{2}

x^{3} + \frac{1}{x ^{3}}

What is (4x^8-10x^6-5x^4)/(2x^3) ?
The solution to (4x^8-10x^6-5x^4)/(2x^3) is (x(4x^4-10x^2-5))/2