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

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

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

simplify

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

\frac{y + 6}{y - 6}

Solution steps

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

Factor

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

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

y - 6

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

(3 x + y^{2})^{2}

\frac{n ^{6}}{49} - \frac{1}{121}

(2 + 1)^{n} (2 + 2)

y^{'} (t) \cdot y^{'} (t)

7^{8} \cdot 7^{- 3}

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