What is (x^2-12x+36)/(4x-24) ?

The solution to (x^2-12x+36)/(4x-24) is (x-6)/4

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simplify (x^2-12x+36)/(4x-24)

simplify

\frac{x ^{2} - 12 x + 36}{4 x - 24}

\frac{x - 6}{4}

Solution steps

\frac{x ^{2} - 12 x + 36}{4 x - 24}

Factor

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

= \frac{( x - 6 ) ^{2}}{4 x - 24}

Factor

4 x - 24 : 4 (x - 6)

= \frac{( x - 6 ) ^{2}}{4 ( x - 6 )}

Apply exponent rule:

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

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

= \frac{( x - 6 ) ( x - 6 )}{4 ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x - 6}{4}

- 1 + (- 12)

- 7 x^{6} y^{5} - 20 x^{2} y z^{3}

\frac{57}{60}

\frac{57}{10}