SOLUTION: (3p^2-p)(3p^2-p)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (3p^2-p)(3p^2-p)      Log On


   

Question 628492: (3p^2-p)(3p^2-p)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283p%5E2-p%29%283p%5E2-p%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283p%5E2%29-p%29%28highlight%283p%5E2%29-p%29 Multiply the First terms:%283%2Ap%5E2%29%2A%283%2Ap%5E2%29=9%2Ap%5E4.


%28highlight%283p%5E2%29-p%29%283p%5E2%2Bhighlight%28-p%29%29 Multiply the Outer terms:%283%2Ap%5E2%29%2A%28-p%29=-3%2Ap%5E3.


%283p%5E2%2Bhighlight%28-p%29%29%28highlight%283p%5E2%29-p%29 Multiply the Inner terms:%28-p%29%2A%283%2Ap%5E2%29=-3%2Ap%5E3.


%283p%5E2%2Bhighlight%28-p%29%29%283p%5E2%2Bhighlight%28-p%29%29 Multiply the Last terms:%28-p%29%2A%28-p%29=p%5E2.


---------------------------------------------------
So we have the terms: 9%2Ap%5E4, -3%2Ap%5E3, -3%2Ap%5E3, p%5E2


9%2Ap%5E4-3%2Ap%5E3-3%2Ap%5E3%2Bp%5E2 Now add every term listed above to make a single expression.


9p%5E4-6p%5E3%2Bp%5E2 Now combine like terms.


So %283p%5E2-p%29%283p%5E2-p%29 FOILs to 9p%5E4-6p%5E3%2Bp%5E2.


In other words, %283p%5E2-p%29%283p%5E2-p%29=9p%5E4-6p%5E3%2Bp%5E2.

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

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------