SOLUTION: can some one check this before i turn it in please? (2r-3s)(4r^2+6rs+9s^2) 8r^3+27s^3 48r^4-162s^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can some one check this before i turn it in please? (2r-3s)(4r^2+6rs+9s^2) 8r^3+27s^3 48r^4-162s^4      Log On


   

Question 74683: can some one check this before i turn it in please?
(2r-3s)(4r^2+6rs+9s^2)
8r^3+27s^3
48r^4-162s^4
Found 2 solutions by jim_thompson5910, venugopalramana:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282r-3s%29%284r%5E2%2B6rs%2B9s%5E2%29
8r%5E3%2B12r%5E2s%2B18rs%5E2-12r%5E2s-18rs%5E2-27s%5E3Multiply
8r%5E3%2Bcross%2812r%5E2s-12r%5E2s%29%2Bcross%2818rs%5E2-18rs%5E2%29-27s%5E3Notice these terms cancel to zero. So you're left with
8r%5E3-27s%5E3This is the simplified form.
You had the right answer at first. However, I don't know where you got 48r%5E4-162s%5E4

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
can some one check this before i turn it in please?
(2r-3s)(4r^2+6rs+9s^2)
WELL THIS MULTIPLICATION GIVES
8r^3+27s^3.....8R^3-27S^3 OK??CHECK YOUR MULTIPLICATION.
THIS IS A STD. FORMULA
(X-Y)(X^2+XY+Y^2)=X^3-Y^3


48r^4-162s^4....BUT WHAT IS THIS SUPPOSED TO BE?