What is (x^2-1)/(5x^2+4x-9) ?

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

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simplify (x^2-1)/(5x^2+4x-9)

simplify

\frac{x ^{2} - 1}{5 x ^{2} + 4 x - 9}

\frac{x + 1}{5 x + 9}

Solution steps

\frac{x ^{2} - 1}{5 x ^{2} + 4 x - 9}

Factor

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

= \frac{( x + 1 ) ( x - 1 )}{5 x ^{2} + 4 x - 9}

Factor

5 x^{2} + 4 x - 9 : (x - 1) (5 x + 9)

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

Cancel the common factor:

x - 1

= \frac{x + 1}{5 x + 9}

\frac{1}{2 0}

lo g_{2} (64000)

\frac{6 !}{3 ! 2 !}

12 + 27 + 48

2 (3 x + 2)

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