What is (x^2-15x+36)/(5x-60) ?

The solution to (x^2-15x+36)/(5x-60) is (x-3)/5

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simplify (x^2-15x+36)/(5x-60)

simplify

\frac{x ^{2} - 15 x + 36}{5 x - 60}

\frac{x - 3}{5}

Solution steps

\frac{x ^{2} - 15 x + 36}{5 x - 60}

Factor

x^{2} - 15 x + 36 : (x - 3) (x - 12)

= \frac{( x - 3 ) ( x - 12 )}{5 x - 60}

Factor

5 x - 60 : 5 (x - 12)

= \frac{( x - 3 ) ( x - 12 )}{5 ( x - 12 )}

Cancel the common factor:

x - 12

= \frac{x - 3}{5}

x^{2} y + 9 x^{2} y

3 \cdot 3 x

\frac{16 3}{3}

\frac{50}{3}