What is (y^2-81)/(y^2-18y+81) ?

The solution to (y^2-81)/(y^2-18y+81) is (y+9)/(y-9)

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simplify (y^2-81)/(y^2-18y+81)

simplify

\frac{y ^{2} - 81}{y ^{2} - 18 y + 81}

\frac{y + 9}{y - 9}

Solution steps

\frac{y ^{2} - 81}{y ^{2} - 18 y + 81}

Factor

y^{2} - 81 : (y + 9) (y - 9)

= \frac{( y + 9 ) ( y - 9 )}{y ^{2} - 18 y + 81}

Factor

y^{2} - 18 y + 81 : (y - 9)^{2}

= \frac{( y + 9 ) ( y - 9 )}{( y - 9 ) ^{2}}

Apply exponent rule:

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

(y - 9)^{2} = (y - 9) (y - 9)

= \frac{( y + 9 ) ( y - 9 )}{( y - 9 ) ( y - 9 )}

Cancel the common factor:

y - 9

= \frac{y + 9}{y - 9}

- 5^{7}

100 x^{2} - 49 y^{4}

19 - (- 2)

\frac{11}{6} - \frac{9}{7}

\frac{63}{- 9}

What is (y^2-81)/(y^2-18y+81) ?
The solution to (y^2-81)/(y^2-18y+81) is (y+9)/(y-9)