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

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

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

simplify

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

\frac{x - 5}{x + 5}

Solution steps

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

Factor

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

= \frac{( x - 5 ) ^{2}}{x ^{2} - 25}

Factor

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

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

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 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x - 5}{x + 5}

1 + cot^{2} (θ)

\frac{2}{m - n} - \frac{3}{n - m}

5 x^{2} - 4 x

(3 (2 a)^{\frac{3}{2}})^{2}

3 x \cdot 5 x

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