What is ((-12x^6+x))/((-4x^2)) ?

The solution to ((-12x^6+x))/((-4x^2)) is (12x^5-1)/(4x)

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simplify ((-12x^6+x))/((-4x^2))

simplify

\frac{( - 12 x ^{6} + x )}{( - 4 x ^{2} )}

\frac{12 x ^{5} - 1}{4 x}

Solution steps

\frac{- 12 x ^{6} + x}{- 4 x ^{2}}

Factor out

- 1 : - (12 x^{6} - x)

= \frac{- ( 12 x ^{6} - x )}{- 4 x ^{2}}

Factor

12 x^{6} - x : x (12 x^{5} - 1)

= \frac{- x ( 12 x ^{5} - 1 )}{- 4 x ^{2}}

Apply the fraction rule:

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

= \frac{x ( 12 x ^{5} - 1 )}{4 x ^{2}}

Apply exponent rule:

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

x^{2} = xx

= \frac{x ( 12 x ^{5} - 1 )}{4 xx}

Cancel the common factor:

x

= \frac{12 x ^{5} - 1}{4 x}

(\frac{3 m ^{4} n ^{5}}{6 n ^{2}})^{3}

(a + b)^{- 1} \cdot (a^{- 1} + b^{- 1})

\frac{1}{sin ^{2} ( a )} - \frac{1}{tan ^{2} ( a )}

(7 v - 9) - 2 (6 v + 9)

\frac{a ^{20}}{a ^{15}}

What is ((-12x^6+x))/((-4x^2)) ?
The solution to ((-12x^6+x))/((-4x^2)) is (12x^5-1)/(4x)