SOLUTION: Multiply (8x^4+6)(8x^4-6) Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply (8x^4+6)(8x^4-6) Thank you      Log On


   

Question 323763: Multiply
(8x^4+6)(8x^4-6)
Thank you
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%288x%5E4%2B6%29%288x%5E4-6%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%288x%5E4%29%2B6%29%28highlight%288x%5E4%29-6%29 Multiply the First terms:%288x%5E4%29%288x%5E4%29=64x%5E8.


%28highlight%288x%5E4%29%2B6%29%288x%5E4%2Bhighlight%28-6%29%29 Multiply the Outer terms:%288x%5E4%29%28-6%29=-48x%5E4.


%288x%5E4%2Bhighlight%286%29%29%28highlight%288x%5E4%29-6%29 Multiply the Inner terms:%286%29%288x%5E4%29=48x%5E4.


%288x%5E4%2Bhighlight%286%29%29%288x%5E4%2Bhighlight%28-6%29%29 Multiply the Last terms:%286%29%28-6%29=-36.


---------------------------------------------------
So we have the terms: 64x%5E8, -48x%5E4, 48x%5E4, -36


64x%5E8-48x%5E4%2B48x%5E4-36 Now add every term listed above to make a single expression.


64x%5E8-36 Now combine like terms.


So %288x%5E4%2B6%29%288x%5E4-6%29 FOILs to 64x%5E8-36.


In other words, %288x%5E4%2B6%29%288x%5E4-6%29=64x%5E8-36.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


It is the product of two conjugates: , so:



You can simplify for yourself.


John