What is (x-1)/(5(x-1)^2) ?

The solution to (x-1)/(5(x-1)^2) is 1/(5(x-1))

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simplify (x-1)/(5(x-1)^2)

simplify

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

\frac{1}{5 ( x - 1 )}

Solution steps

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

Apply exponent rule:

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

(x - 1)^{2} = (x - 1) (x - 1)

= \frac{x - 1}{5 ( x - 1 ) ( x - 1 )}

Cancel the common factor:

x - 1

= \frac{1}{5 ( x - 1 )}

8 x - 5 x

13 \times 5

\frac{1 - \frac{1}{3}}{1 + \frac{1}{3}}

(3 + 4 i)^{3}

2 x \cdot 6