What is 2x(-10x-6+1/(x^3)) ?

The solution to 2x(-10x-6+1/(x^3)) is (2(-10x^4-6x^3+1))/(x^2)

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simplify 2x(-10x-6+1/(x^3))

simplify

2 x (- 10 x - 6 + \frac{1}{x ^{3}})

\frac{2 ( - 10 x ^{4} - 6 x ^{3} + 1 )}{x ^{2}}

Solution steps

2 x (- 10 x - 6 + \frac{1}{x ^{3}})

Join

- 10 x - 6 + \frac{1}{x ^{3}} : \frac{- 10 x ^{4} - 6 x ^{3} + 1}{x ^{3}}

= 2 x \frac{- 10 x ^{4} - 6 x ^{3} + 1}{x ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 x ( - 10 x ^{4} - 6 x ^{3} + 1 )}{x ^{3}}

Apply exponent rule:

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

x^{3} = x x^{2}

= \frac{2 x ( - 10 x ^{4} - 6 x ^{3} + 1 )}{x x ^{2}}

Cancel the common factor:

x

= \frac{2 ( - 10 x ^{4} - 6 x ^{3} + 1 )}{x ^{2}}

\frac{8}{s ( s - 2 ) ( s + 2 )}

(a - L m) (c - ln (x)) - b^{2}

\frac{8 + ( 8 + 16 cos ( x ) )}{2} (8 sin (x))

\frac{e ^{- x}}{( x - 1 ) ( x - 2 ) ( x + 4 )}

a (7, 0, - 8)

What is 2x(-10x-6+1/(x^3)) ?
The solution to 2x(-10x-6+1/(x^3)) is (2(-10x^4-6x^3+1))/(x^2)