SOLUTION: Use the Binomial Theorem to expand and simplify the expression.
(2y − 5)^3
Algebra.Com
Question 1179305: Use the Binomial Theorem to expand and simplify the expression.
(2y − 5)^3
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
To see the answer, go to wolframalpha.com and enter the expression in the box.
To get the answer using the binomial theorem is a straightforward process; you can do it yourself.
Think of the expression like this:
The product is going to be obtained by finding all the partial products resulting from picking one of the two terms from each of the three identical factors.
I hope it is clear that the answer is going to have terms in y^3, y^2, and y, plus a constant.
Here are where the different terms come from....
To get the y^3 term we need to choose the "2y" term from all 3 of the 3 factors. The y^3 term is
To get the y^2 term we need to choose the "2y" term from 2 of the 3 factors and the "-5" term from the other. The y^2 term is
To get the y term we need to choose the "2y" term from 1 of the 3 factors and the "-5" term from the other two. The y term is
To get the constant term we need to choose the "-5" term from all 3 of the 3 factors. The constant term is
Do all those calculations and compare your answer with the answer from wolframalpha.com.
If you aren't getting the right answer, re-post the problem showing us the work you have done and we will help you along with the problem.
Remember our purpose here is to HELP YOU learn how to do the math -- not to do it for you.
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