What is factor 12x^{-6}+7x^{-5}+x^{-4} ?

The solution to factor 12x^{-6}+7x^{-5}+x^{-4} is ((x+3)(x+4))/(x^6)

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factor 12x^{-6}+7x^{-5}+x^{-4}

factor

12 x^{- 6} + 7 x^{- 5} + x^{- 4}

\frac{( x + 3 ) ( x + 4 )}{x ^{6}}

Solution steps

12 x^{- 6} + 7 x^{- 5} + x^{- 4}

Apply exponent rule:

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

x^{- 5} = x^{- 6} x, x^{- 4} = x^{- 6} x^{2}

= 12 x^{- 6} + 7 x^{- 6} x + x^{- 6} x^{2}

Factor out common term

x^{- 6}

= x^{- 6} (12 + 7 x + x^{2})

Factor

x^{2} + 7 x + 12 : (x + 3) (x + 4)

= x^{- 6} (x + 3) (x + 4)

Refine

= \frac{( x + 3 ) ( x + 4 )}{x ^{6}}

\frac{d}{d x} (sin (x y))

\frac{d}{d r} ((S (r)) (k S (r)))

x^{900} - 1

3 x + 3 y + a x + a y

\frac{e ^{2} - 1}{2}

What is factor 12x^{-6}+7x^{-5}+x^{-4} ?
The solution to factor 12x^{-6}+7x^{-5}+x^{-4} is ((x+3)(x+4))/(x^6)