What is (4x^2+8x-12)/(6x^2-6) ?

The solution to (4x^2+8x-12)/(6x^2-6) is (2(x+3))/(3(x+1))

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simplify (4x^2+8x-12)/(6x^2-6)

simplify

\frac{4 x ^{2} + 8 x - 12}{6 x ^{2} - 6}

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

Solution steps

\frac{4 x ^{2} + 8 x - 12}{6 x ^{2} - 6}

Factor

4 x^{2} + 8 x - 12 : 4 (x - 1) (x + 3)

= \frac{4 ( x - 1 ) ( x + 3 )}{6 x ^{2} - 6}

Factor

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

= \frac{4 ( x - 1 ) ( x + 3 )}{6 ( x + 1 ) ( x - 1 )}

Cancel the common factor:

x - 1

= \frac{4 ( x + 3 )}{6 ( x + 1 )}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 ( x + 3 )}{6 ( x + 1 )}

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

\frac{1}{x + y} - \frac{1}{x}

(\frac{3}{2} x - 8)^{2}

\frac{x ^{2} - x + 9}{x ^{3} - 9 x} + \frac{1}{x ^{2} - 9} - \frac{1}{x - 3} + \frac{1}{x}

36 r^{2} s + 48 r s^{2} + 16 s^{3}

What is (4x^2+8x-12)/(6x^2-6) ?
The solution to (4x^2+8x-12)/(6x^2-6) is (2(x+3))/(3(x+1))