Simplify (6c^2-4c-30)/(3c^2-12)

Math
6c2-4c-303c2-12
Factor 2 out of 6c2-4c-30.
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Factor 2 out of 6c2.
2(3c2)-4c-303c2-12
Factor 2 out of -4c.
2(3c2)+2(-2c)-303c2-12
Factor 2 out of -30.
2(3c2)+2(-2c)+2(-15)3c2-12
Factor 2 out of 2(3c2)+2(-2c).
2(3c2-2c)+2(-15)3c2-12
Factor 2 out of 2(3c2-2c)+2(-15).
2(3c2-2c-15)3c2-12
2(3c2-2c-15)3c2-12
Simplify the denominator.
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Factor 3 out of 3c2-12.
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Factor 3 out of 3c2.
2(3c2-2c-15)3(c2)-12
Factor 3 out of -12.
2(3c2-2c-15)3c2+3⋅-4
Factor 3 out of 3c2+3⋅-4.
2(3c2-2c-15)3(c2-4)
2(3c2-2c-15)3(c2-4)
Rewrite 4 as 22.
2(3c2-2c-15)3(c2-22)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=c and b=2.
2(3c2-2c-15)3(c+2)(c-2)
2(3c2-2c-15)3(c+2)(c-2)
Simplify (6c^2-4c-30)/(3c^2-12)

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