SOLUTION: Is my answer correct for this problem? Find the product (3r-2s)^4 My answer is 81r^4-24rs+16rs^4 Please help

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Question 106708This question is from textbook
: Is my answer correct for this problem?
Find the product
(3r-2s)^4
My answer is 81r^4-24rs+16rs^4
Please help This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Unfortunately, this problem isn't that simple

Remember %283r-2s%29%5E4=%283r-2s%29%283r-2s%29%283r-2s%29%283r-2s%29


So this means you have to foil the first two products and the last two to get





Now break up %289r%5E2-12rs%2B4s%5E2%29%289r%5E2-12rs%2B4s%5E2%29 to get





Now distribute





Combine like terms

81r%5E4-216r%5E3s%2B216r%5E2s%5E2-96rs%5E3%2B16s%5E4


So %283r-2s%29%5E4=81r%5E4-216r%5E3s%2B216r%5E2s%5E2-96rs%5E3%2B16s%5E4