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

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

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

simplify

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

\frac{s + 9}{s - 9}

Solution steps

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

Factor

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

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

s - 9

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

\frac{1}{9} \times 2

- 4 x^{2} + 12 x - 8

16 x y^{2}

\frac{2 π}{π}

\frac{3}{5 - x}

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