Simplify (3u^2-27u+24)/(u^2+u-2)

Math
3u2-27u+24u2+u-2
Simplify the numerator.
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Factor 3 out of 3u2-27u+24.
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Factor 3 out of 3u2.
3(u2)-27u+24u2+u-2
Factor 3 out of -27u.
3(u2)+3(-9u)+24u2+u-2
Factor 3 out of 24.
3u2+3(-9u)+3⋅8u2+u-2
Factor 3 out of 3u2+3(-9u).
3(u2-9u)+3⋅8u2+u-2
Factor 3 out of 3(u2-9u)+3⋅8.
3(u2-9u+8)u2+u-2
3(u2-9u+8)u2+u-2
Factor u2-9u+8 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 8 and whose sum is -9.
-8,-1
Write the factored form using these integers.
3((u-8)(u-1))u2+u-2
3(u-8)(u-1)u2+u-2
3(u-8)(u-1)u2+u-2
Factor u2+u-2 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 -2 and whose sum is 1.
-1,2
Write the factored form using these integers.
3(u-8)(u-1)(u-1)(u+2)
3(u-8)(u-1)(u-1)(u+2)
Cancel the common factor of u-1.
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Cancel the common factor.
3(u-8)(u-1)(u-1)(u+2)
Rewrite the expression.
3(u-8)u+2
3(u-8)u+2
Simplify (3u^2-27u+24)/(u^2+u-2)

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