SOLUTION: (5x+2u-5)(4x-5u+3)

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Question 320415: (5x+2u-5)(4x-5u+3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
A=2u-5
B=-5u%2B3
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%285x%2B2u-5%29%284x-5u%2B3%29=%285x%2BA%29%284x%2BB%29
%285x%2B2u-5%29%284x-5u%2B3%29=20x%5E2%2B5Bx%2B4Ax%2BAB
%285x%2B2u-5%29%284x-5u%2B3%29=20x%5E2%2B%285B%2B4A%29x%2BAB
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5B%2B4A=5%28-5u%2B3%29%2B4%282u-5%29
5B%2B4A=-25u%2B15%2B8u-20
5B%2B4A=-17u-5
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AB=%282u-5%29%28-5u%2B3%29
AB=-10u%5E2%2B6u%2B25u-15
AB=-10u%5E2%2B31u-15
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Substituting,
%285x%2B2u-5%29%284x-5u%2B3%29=20x%5E2%2B%285B%2B4A%29x%2BAB
%285x%2B2u-5%29%284x-5u%2B3%29=20x%5E2%2B%28-17u-5%29x-10u%5E2%2B31u-15
%285x%2B2u-5%29%284x-5u%2B3%29=highlight%2820x%5E2-%2817u%2B5%29x-10u%5E2%2B31u-15%29