SOLUTION: 3. (7x3 + 3)(6x5 - 2)

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Question 171724: 3. (7x3 + 3)(6x5 - 2)
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(7x3 + 3)(6x5 - 2)
7x^3+3
6x^5-2
----------------
42x^8+18x^5-14x^3-6
2(21x^8+9x^5-7x^3-3) ans.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x%5E3%2B3%29%286x%5E5-2%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%287x%5E3%29%2B3%29%28highlight%286x%5E5%29-2%29 Multiply the First terms:%287%2Ax%5E3%29%2A%286%2Ax%5E5%29=42%2Ax%5E8.


%28highlight%287x%5E3%29%2B3%29%286x%5E5%2Bhighlight%28-2%29%29 Multiply the Outer terms:%287%2Ax%5E3%29%2A%28-2%29=-14%2Ax%5E3.


%287x%5E3%2Bhighlight%283%29%29%28highlight%286x%5E5%29-2%29 Multiply the Inner terms:%283%29%2A%286%2Ax%5E5%29=18%2Ax%5E5.


%287x%5E3%2Bhighlight%283%29%29%286x%5E5%2Bhighlight%28-2%29%29 Multiply the Last terms:%283%29%2A%28-2%29=-6.


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42%2Ax%5E8-14%2Ax%5E3%2B18%2Ax%5E5-6 Now collect every term to make a single expression.


So %287x%5E3%2B3%29%286x%5E5-2%29 FOILs to 42%2Ax%5E8-14%2Ax%5E3%2B18%2Ax%5E5-6.


In other words, %287x%5E3%2B3%29%286x%5E5-2%29=42%2Ax%5E8-14%2Ax%5E3%2B18%2Ax%5E5-6.