3u2-27u+24u2+u-2

Factor 3 out of 3u2-27u+24.

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.

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

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.

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)