What is factor 5t^{-7}+2t^{-6}-t^{-5} ?

The solution to factor 5t^{-7}+2t^{-6}-t^{-5} is (5+2t-t^2)/(t^7)

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factor 5t^{-7}+2t^{-6}-t^{-5}

factor

5 t^{- 7} + 2 t^{- 6} - t^{- 5}

\frac{5 + 2 t - t ^{2}}{t ^{7}}

Solution steps

5 t^{- 7} + 2 t^{- 6} - t^{- 5}

Apply exponent rule:

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

t^{- 6} = t^{- 7} t, t^{- 5} = t^{- 7} t^{2}

= 5 t^{- 7} + 2 t^{- 7} t - t^{- 7} t^{2}

Factor out common term

t^{- 7}

= t^{- 7} (5 + 2 t - t^{2})

Refine

= \frac{- t ^{2} + 2 t + 5}{t ^{7}}

6.25 m^{8} - 0.49 n^{6}

2 cos^{2} (x) + 3 cos (x) + 1

- (+ 2)

w^{3} y^{12} + 1728 x^{6}

+ a c + b c - a d - b d

What is factor 5t^{-7}+2t^{-6}-t^{-5} ?
The solution to factor 5t^{-7}+2t^{-6}-t^{-5} is (5+2t-t^2)/(t^7)