SOLUTION: I am confused on this (4x^2 - 5x - 3)(1 + 2x^2)

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Question 375692: I am confused on this
(4x^2 - 5x - 3)(1 + 2x^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%5E2-5x-3%29%281%2B2x%5E2%29 Start with the given expression.


4x%5E2%281%2B2x%5E2%29-5x%281%2B2x%5E2%29-3%281%2B2x%5E2%29 Expand.


Distribute.


4%2Ax%5E2%2B8%2Ax%5E4-5%2Ax-10%2Ax%5E3-3-6%2Ax%5E2 Multiply.


8%2Ax%5E4-10%2Ax%5E3-2%2Ax%5E2-5%2Ax-3 Now combine like terms.


So %284x%5E2-5x-3%29%281%2B2x%5E2%29 expands to 8%2Ax%5E4-10%2Ax%5E3-2%2Ax%5E2-5%2Ax-3.


In other words, %284x%5E2-5x-3%29%281%2B2x%5E2%29=8%2Ax%5E4-10%2Ax%5E3-2%2Ax%5E2-5%2Ax-3.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim