What is (6x^2+10x-4)/(x^2-4) ?

The solution to (6x^2+10x-4)/(x^2-4) is (2(3x-1))/(x-2)

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simplify (6x^2+10x-4)/(x^2-4)

simplify

\frac{6 x ^{2} + 10 x - 4}{x ^{2} - 4}

\frac{2 ( 3 x - 1 )}{x - 2}

Solution steps

\frac{6 x ^{2} + 10 x - 4}{x ^{2} - 4}

Factor

6 x^{2} + 10 x - 4 : 2 (3 x - 1) (x + 2)

= \frac{2 ( 3 x - 1 ) ( x + 2 )}{x ^{2} - 4}

Factor

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

= \frac{2 ( 3 x - 1 ) ( x + 2 )}{( x + 2 ) ( x - 2 )}

Cancel the common factor:

x + 2

= \frac{2 ( 3 x - 1 )}{x - 2}

10 a^{4} - 30 a^{3} + 10 a^{2}

(23)^{5}

25.25

(4 y^{2})^{2}

(- 4)^{2} + (3)^{2}

What is (6x^2+10x-4)/(x^2-4) ?
The solution to (6x^2+10x-4)/(x^2-4) is (2(3x-1))/(x-2)