What is (x^2-1)/(x^2+10x+9) ?

The solution to (x^2-1)/(x^2+10x+9) is (x-1)/(x+9)

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simplify (x^2-1)/(x^2+10x+9)

simplify

\frac{x ^{2} - 1}{x ^{2} + 10 x + 9}

\frac{x - 1}{x + 9}

Solution steps

\frac{x ^{2} - 1}{x ^{2} + 10 x + 9}

Factor

x^{2} - 1 : (x + 1) (x - 1)

= \frac{( x + 1 ) ( x - 1 )}{x ^{2} + 10 x + 9}

Factor

x^{2} + 10 x + 9 : (x + 1) (x + 9)

= \frac{( x + 1 ) ( x - 1 )}{( x + 1 ) ( x + 9 )}

Cancel the common factor:

x + 1

= \frac{x - 1}{x + 9}

\frac{3 x + 3 y}{20 x y} + \frac{3 x - 3 y}{20 x y}

5^{2} + 7^{2}

\frac{6 x ^{2} - x y - 2 y ^{2}}{y + 2 x}

\frac{4 ^{2} 3}{4}

\frac{5 - x}{x - 5}

What is (x^2-1)/(x^2+10x+9) ?
The solution to (x^2-1)/(x^2+10x+9) is (x-1)/(x+9)