What is (x-5)/(x^2-10x+25) ?

The solution to (x-5)/(x^2-10x+25) is 1/(x-5)

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simplify (x-5)/(x^2-10x+25)

simplify

\frac{x - 5}{x ^{2} - 10 x + 25}

\frac{1}{x - 5}

Solution steps

\frac{x - 5}{x ^{2} - 10 x + 25}

Factor

x^{2} - 10 x + 25 : (x - 5)^{2}

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

Apply exponent rule:

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

(x - 5)^{2} = (x - 5) (x - 5)

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

Cancel the common factor:

x - 5

= \frac{1}{x - 5}

\frac{2}{5} \div \frac{1}{3}

\frac{9 x}{8} - \frac{3}{7}

\frac{2}{3} \cdot (- 2)

5 \div \frac{1}{4}

2^{3} - 9 [6 - 3 x + 2 (x - 2)]