SOLUTION: Short Answer. Find the Difference. Must show all your work! (7x^3-6x^2+6) - (2x^2 -4x-9) Super Big Thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Short Answer. Find the Difference. Must show all your work! (7x^3-6x^2+6) - (2x^2 -4x-9) Super Big Thanks!      Log On


   



Question 626510: Short Answer. Find the Difference. Must show all your work!
(7x^3-6x^2+6) - (2x^2 -4x-9)

Super Big Thanks!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%287x%5E3-6x%5E2%2B6%29+-+%282x%5E2+-4x-9%29+

7x%5E3-6x%5E2%2B6+-+2x%5E2+%2B+4x+%2B+9+ Distribute (to ALL terms)

7x%5E3-8x%5E2%2B4x%2B15+ Combine like terms.

So %287x%5E3-6x%5E2%2B6%29+-+%282x%5E2+-4x-9%29+ fully simplifies to 7x%5E3-8x%5E2%2B4x%2B15+

In other words %287x%5E3-6x%5E2%2B6%29+-+%282x%5E2+-4x-9%29+=7x%5E3-8x%5E2%2B4x%2B15+ for all values of x.

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