SOLUTION: (5y+5u-6)(5y+3u-5)

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Question 182072: (5y+5u-6)(5y+3u-5)
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
5y+5u-6
5y+3u-5
-------------
25y^2+25uy-30y+15uy+15u^2-18u-25y-25u+30
25y^2+40uy-45y-43u+15u^2+30

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

%285y%2B5u-6%29%285y%2B3u-5%29 Start with the given expression.


5y%285y%2B3u-5%29%2B5u%285y%2B3u-5%29-6%285y%2B3u-5%29 Expand.


%285y%29%285y%29%2B%285y%29%283u%29%2B%285y%29%28-5%29%2B%285u%29%285y%29%2B%285u%29%283u%29%2B%285u%29%28-5%29%2B%28-6%29%285y%29%2B%28-6%29%283u%29%2B%28-6%29%28-5%29 Distribute.


25y%5E2%2B15yu-25y%2B25yu%2B15u%5E2-25u-30y-18u%2B30 Multiply.


25y%5E2%2B40yu-55y%2B15u%5E2-43u%2B30 Now combine like terms.


So %285y%2B5u-6%29%285y%2B3u-5%29 expands to 25y%5E2%2B40yu-55y%2B15u%5E2-43u%2B30.


In other words, %285y%2B5u-6%29%285y%2B3u-5%29=25y%5E2%2B40yu-55y%2B15u%5E2-43u%2B30.