What is (x^2-25)/(2x^2-7x-15) ?

The solution to (x^2-25)/(2x^2-7x-15) is (x+5)/(2x+3)

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simplify (x^2-25)/(2x^2-7x-15)

simplify

\frac{x ^{2} - 25}{2 x ^{2} - 7 x - 15}

\frac{x + 5}{2 x + 3}

Solution steps

\frac{x ^{2} - 25}{2 x ^{2} - 7 x - 15}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{( x + 5 ) ( x - 5 )}{2 x ^{2} - 7 x - 15}

Factor

2 x^{2} - 7 x - 15 : (2 x + 3) (x - 5)

= \frac{( x + 5 ) ( x - 5 )}{( 2 x + 3 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x + 5}{2 x + 3}

1 - y^{3}

- 2 x - 2 y - 2 z + 5 x - 2 y - 4 z

1 \times 3

a^{2} - 3 a - 10

What is (x^2-25)/(2x^2-7x-15) ?
The solution to (x^2-25)/(2x^2-7x-15) is (x+5)/(2x+3)