Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152629: simplify:
(4x^3+x^2-3) - (-9x^3+5x^2-6): simplify:
(4x^3+x^2-3) - (-9x^3+5x^2-6)
Answer by Fombitz(1755) About Me  (Show Source):
You can put this solution on YOUR website!
The key is to group like terms and perform operations on them.
Group the x^2 terms, the x terms and the constants.
Use the distributive properties and watch the signs.
(4x^3+x^2-3) - (-9x^3+5x^2-6)=(4x^3-(-9x^3))+(x^2-5x^2)+(-3-(-6))
(4x^3+x^2-3) - (-9x^3+5x^2-6)=(4x^3+9x^3)+(x^2-5x^2)+(-3+6)
(4x^3+x^2-3) - (-9x^3+5x^2-6)=(13x^3)+(-4x^2)+(3)
(4x^3+x^2-3) - (-9x^3+5x^2-6)=13x^3-4x^2+3