Question 486224: I am having difficulty with two problems dealing with polynomials and trynomials. My book covers the basics which i understand but the complex problems i am having an issue with can you please explain and solve by putting it in standard form for these two problems thanks.
-2(3x^2 + x + 1) +6(-3x^2 -2x -2)
(3y^3 - 4y +2) + (2y+1) - (y^3 - y^2 +4)
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! These just expressions, not equations, that you can solve (no equal sign)
:
-2(3x^2 + x + 1) +6(-3x^2 -2x -2)
multiply what's inside the bracket, remove the brackets
-6x^2 - 2x - 2 -18x^2 - 12x - 12
combine like terms
-6x^2 - 18x^2 - 2x - 12x - 2 - 12
-24x^2 - 14x - 14
:
:
(3y^3 - 4y +2) + (2y+1) - (y^3 - y^2 +4)
remove the brackets, no change if positive, if negative change the signs
3y^3 - 4y + 2 + 2y + 1 - y^3 + y^2 - 4
Combine like terms
3y^3 - y^3 + y^2 - 4y + 2y + 2 + 1 - 4
2y^3 + y^2 - 2y - 1
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