Simplify (3u^2-3)/(u^2-5u-6)

Math
3u2-3u2-5u-6
Simplify the numerator.
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Factor 3 out of 3u2-3.
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Factor 3 out of 3u2.
3(u2)-3u2-5u-6
Factor 3 out of -3.
3(u2)+3(-1)u2-5u-6
Factor 3 out of 3(u2)+3(-1).
3(u2-1)u2-5u-6
3(u2-1)u2-5u-6
Rewrite 1 as 12.
3(u2-12)u2-5u-6
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=u and b=1.
3(u+1)(u-1)u2-5u-6
3(u+1)(u-1)u2-5u-6
Factor u2-5u-6 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -6 and whose sum is -5.
-6,1
Write the factored form using these integers.
3(u+1)(u-1)(u-6)(u+1)
3(u+1)(u-1)(u-6)(u+1)
Cancel the common factor of u+1.
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Cancel the common factor.
3(u+1)(u-1)(u-6)(u+1)
Rewrite the expression.
3(u-1)u-6
3(u-1)u-6
Simplify (3u^2-3)/(u^2-5u-6)

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