What is (2x^2-3x-14)/(2x^2-8) ?

The solution to (2x^2-3x-14)/(2x^2-8) is (2x-7)/(2(x-2))

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simplify (2x^2-3x-14)/(2x^2-8)

simplify

\frac{2 x ^{2} - 3 x - 14}{2 x ^{2} - 8}

\frac{2 x - 7}{2 ( x - 2 )}

Solution steps

\frac{2 x ^{2} - 3 x - 14}{2 x ^{2} - 8}

Factor

2 x^{2} - 3 x - 14 : (x + 2) (2 x - 7)

= \frac{( x + 2 ) ( 2 x - 7 )}{2 x ^{2} - 8}

Factor

2 x^{2} - 8 : 2 (x + 2) (x - 2)

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

Cancel the common factor:

x + 2

= \frac{2 x - 7}{2 ( x - 2 )}

144 r^{2} - 49 s^{4}

12 n^{2} - 20 n - 24

3 (- 9)

- 16 \div 8

- (- x)^{3}

What is (2x^2-3x-14)/(2x^2-8) ?
The solution to (2x^2-3x-14)/(2x^2-8) is (2x-7)/(2(x-2))