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

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

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simplify (2a^2-2)/(2a^2+4a-6)

simplify

\frac{2 a ^{2} - 2}{2 a ^{2} + 4 a - 6}

\frac{a + 1}{a + 3}

Solution steps

\frac{2 a ^{2} - 2}{2 a ^{2} + 4 a - 6}

Factor

2 a^{2} - 2 : 2 (a + 1) (a - 1)

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

Factor

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

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

Cancel the common factor:

2

= \frac{( a + 1 ) ( a - 1 )}{( a - 1 ) ( a + 3 )}

Cancel the common factor:

a - 1

= \frac{a + 1}{a + 3}

(a^{3})^{7}

\frac{32}{15}

x^{2} - x^{- 2}

(x + 5) (x + 1) (x - 2)

(4 x y^{2})^{3}

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