SOLUTION: Our math teacher gave us this problem and he said we should get to know it well. The problem is {{{-2X^2(3X^2-4X+5)}}} and he told us to simplify. I got {{{-6X^4+8X^3-10X^2}}} for

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Our math teacher gave us this problem and he said we should get to know it well. The problem is {{{-2X^2(3X^2-4X+5)}}} and he told us to simplify. I got {{{-6X^4+8X^3-10X^2}}} for       Log On

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Question 27341: Our math teacher gave us this problem and he said we should get to know it well. The problem is -2X%5E2%283X%5E2-4X%2B5%29 and he told us to simplify. I got -6X%5E4%2B8X%5E3-10X%5E2 for a answer. I dont feel that it is right, what do you think?
Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
Looks fine to me. You're just distributing the -2x%5E2 to the other 3 terms in the trinomial 3x%5E2-4x%2B5.
So you multiply each term (not forgetting your signs) and think at each step...
-2x%5E2%2A3x%5E2=-6x%5E4
-2x%5E2%2A-4x=8x%5E3
-2x%5E2%2A5=-10x%5E2
So adding all three terms together you have:
-6x%5E4%2B8x%5E3-10x%5E2