What is (2x+8)/(18x^2+96x-72) ?

The solution to (2x+8)/(18x^2+96x-72) is (x+4)/(3(3x-2)(x+6))

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simplify (2x+8)/(18x^2+96x-72)

simplify

\frac{2 x + 8}{18 x ^{2} + 96 x - 72}

\frac{x + 4}{3 ( 3 x - 2 ) ( x + 6 )}

Solution steps

\frac{2 x + 8}{18 x ^{2} + 96 x - 72}

Factor

2 x + 8 : 2 (x + 4)

= \frac{2 ( x + 4 )}{18 x ^{2} + 96 x - 72}

Factor

18 x^{2} + 96 x - 72 : 6 (3 x - 2) (x + 6)

= \frac{2 ( x + 4 )}{6 ( 3 x - 2 ) ( x + 6 )}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ( x + 4 )}{2 \cdot 3 ( 3 x - 2 ) ( x + 6 )}

Cancel the common factor:

2

= \frac{x + 4}{3 ( 3 x - 2 ) ( x + 6 )}

3 \frac{1}{2} + 7 \frac{1}{3}

63 + 475 - 312

\frac{15}{50}

4 x^{- 3} \times 2 x^{2}

What is (2x+8)/(18x^2+96x-72) ?
The solution to (2x+8)/(18x^2+96x-72) is (x+4)/(3(3x-2)(x+6))