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

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

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

simplify

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

x^{3} (2 x^{2} - 5)

Solution steps

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

Factor

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

= \frac{2 x ^{6} ( 2 x ^{2} - 5 )}{2 x ^{3}}

Cancel the common factor:

2

= \frac{x ^{6} ( 2 x ^{2} - 5 )}{x ^{3}}

Apply exponent rule:

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

x^{6} = x^{3} x^{3}

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

Cancel the common factor:

x^{3}

= x^{3} (2 x^{2} - 5)

6 \cdot 354

- 4 \times (- 6)

(30 - x)^{2}

- 384

\frac{9 x ^{2} - 63 x}{3 x}

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