What is (4x^2-25)/(2x^2-x-10) ?

The solution to (4x^2-25)/(2x^2-x-10) is (2x+5)/(x+2)

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simplify (4x^2-25)/(2x^2-x-10)

simplify

\frac{4 x ^{2} - 25}{2 x ^{2} - x - 10}

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

Solution steps

\frac{4 x ^{2} - 25}{2 x ^{2} - x - 10}

Factor

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

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

Factor

2 x^{2} - x - 10 : (x + 2) (2 x - 5)

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

Cancel the common factor:

2 x - 5

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

x x^{2}

(2 a + 5)^{2}

\frac{a - \frac{1}{b}}{b - \frac{1}{a}}

1 \times 0

(0.15)^{2}

What is (4x^2-25)/(2x^2-x-10) ?
The solution to (4x^2-25)/(2x^2-x-10) is (2x+5)/(x+2)