SOLUTION: Expand: (2x^2 + 4x + 5)(3x^2 - 6x + 7)

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Question 681876: Expand: (2x^2 + 4x + 5)(3x^2 - 6x + 7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%5E2%2B4x%2B5%29%283x%5E2-6x%2B7%29 Start with the given expression.


2x%5E2%283x%5E2-6x%2B7%29%2B4x%283x%5E2-6x%2B7%29%2B5%283x%5E2-6x%2B7%29 Expand.


Distribute.


6%2Ax%5E4-12%2Ax%5E3%2B14%2Ax%5E2%2B12%2Ax%5E3-24%2Ax%5E2%2B28%2Ax%2B15%2Ax%5E2-30%2Ax%2B35 Multiply.


6%2Ax%5E4%2B5%2Ax%5E2-2%2Ax%2B35 Now combine like terms.


So %282x%5E2%2B4x%2B5%29%283x%5E2-6x%2B7%29 expands to 6%2Ax%5E4%2B5%2Ax%5E2-2%2Ax%2B35.


In other words, %282x%5E2%2B4x%2B5%29%283x%5E2-6x%2B7%29=6%2Ax%5E4%2B5%2Ax%5E2-2%2Ax%2B35.