What is (x^2+4x-45)/(x^2+10x+9) ?

The solution to (x^2+4x-45)/(x^2+10x+9) is (x-5)/(x+1)

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simplify (x^2+4x-45)/(x^2+10x+9)

simplify

\frac{x ^{2} + 4 x - 45}{x ^{2} + 10 x + 9}

\frac{x - 5}{x + 1}

Solution steps

\frac{x ^{2} + 4 x - 45}{x ^{2} + 10 x + 9}

Factor

x^{2} + 4 x - 45 : (x - 5) (x + 9)

= \frac{( x - 5 ) ( x + 9 )}{x ^{2} + 10 x + 9}

Factor

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

= \frac{( x - 5 ) ( x + 9 )}{( x + 1 ) ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{x - 5}{x + 1}

\frac{2 x}{2} + \frac{x}{3}

\frac{- 8 + - 32}{24}

\frac{25}{( - 5 )}

1. 2^{10}

16 x^{3} y^{2} - 8 x^{4} y - 24 x^{2} y - 40 x^{2} y^{3}

What is (x^2+4x-45)/(x^2+10x+9) ?
The solution to (x^2+4x-45)/(x^2+10x+9) is (x-5)/(x+1)