Put
Hello, Spudwad!
Another approach . . .
Let: .
. . Then: .
Substitute: .
At this point, you can use Partial Fractions or a standard formula
. . and get: .
Back-substitute: .
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If you want to impress/surprise/terrify your teacher, simplify . . .
Multiply the fraction by:
. .
And the answer becomes: .
. . .