SOLUTION: Hello, I hope you can help! I've been working a problem for 2 hours, and my text book isn't helping me with making sense of how to break it down and solve it. I do have a teacher'

Question 131444: Hello, I hope you can help! I've been working a problem for 2 hours, and my text book isn't helping me with making sense of how to break it down and solve it. I do have a teacher's edition, so I have the answer, but I need to know how to get to the answer.
(2y-3)^3
The answer is 8y^3-36y^2+54y-27
If possible, I would like a step-by-step instruction of how to work this problem, as well as an explanation of what is happening each step.
I hope it is not too much trouble! Thank you for your time!
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(2Y-3)^3 USING A LONG MULTIPLICATION METHOD WE GET
2Y-3
2Y-3 MULTIPLY
-------------------------
4Y^2-6Y-6Y+9 COMBINE LIKE TERMS
4Y^2-12Y+9
2Y-3 MULTIPLY
----------------------
8Y^3-24Y^2+18Y-12Y^2+36Y-27 NOW COMBINE LIKE TERMS
8Y^3-36Y^2+54Y-27 ANSWER.
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