What is (x^2-36)/(x^2-12x+36) ?

The solution to (x^2-36)/(x^2-12x+36) is (x+6)/(x-6)

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simplify (x^2-36)/(x^2-12x+36)

simplify

\frac{x ^{2} - 36}{x ^{2} - 12 x + 36}

\frac{x + 6}{x - 6}

Solution steps

\frac{x ^{2} - 36}{x ^{2} - 12 x + 36}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{x ^{2} - 12 x + 36}

Factor

x^{2} - 12 x + 36 : (x - 6)^{2}

= \frac{( x + 6 ) ( x - 6 )}{( x - 6 ) ^{2}}

Apply exponent rule:

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

(x - 6)^{2} = (x - 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{( x - 6 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 6}{x - 6}

2 5^{1}

5 x^{2}

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

What is (x^2-36)/(x^2-12x+36) ?
The solution to (x^2-36)/(x^2-12x+36) is (x+6)/(x-6)