SOLUTION: {{{ (8*n^2-1)(3*n^2-4*n+5) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{ (8*n^2-1)(3*n^2-4*n+5) }}}      Log On


   

Question 380091: +%288%2An%5E2-1%29%283%2An%5E2-4%2An%2B5%29+
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
This is essentially a distribution problem.
Take the very first term, 8%2An%5E2, and distribute it into the second polynomial:
8%2An%5E2*+3%2An%5E2 + 8%2An%5E2*-4%2An + 8%2An%5E2*5
Remember: when multiplying monomials, multiply coefficients and add exponents.
24%2An%5E4+-+32%2An%5E3+%2B+40%2An%5E2
Then take the other term in the first parentheses, -1, and distribute it into the second polynomial:
-1*3%2An%5E2 + -1*-4%2An + -1%2A5
-3%2An%5E2%2B4%2An-5
Put all of it together, then combine like terms:
24%2An%5E4+-+32%2An%5E3+%2B+40%2An%5E2+-3%2An%5E2%2B4%2An-5
24%2An%5E4-32%2An%5E3%2B37%2An%5E2%2B4%2An-5