Simplify: (3x^2 - 3 + 9x^3) - (4x^3 - 2x^2 + 16)

Question

anonymous · Answer

does it have options for you to pick from

anonymous · Answer

x^3 - 5x^2 + 25

 -x^3 + x^2 - 25

 5x^3 + x^2 + 13

 5x^3 + 5x^ - 19

the_fizicx99 · Answer

By - (4x^3 - 2x^2 + 16)  they mean to take (4x^3 - 2x^2 + 16) and distribute the negative sign or -1

so this becomes: -1(4x^3 - 2x^2 + 16), what would you get if you distribute that?

anonymous · Answer

5x^3+5x^2-19

anonymous · Answer

I'm confused now lol

the_fizicx99 · Answer

@Curlsfordays you shouldn't take answers from people who don't explain how they go to their answer, there's a possibility that it'll be wrong.

the_fizicx99 · Answer

A very high possibility actually. . .

anonymous · Answer

How do I distribute it? Sorry just confused.

the_fizicx99 · Answer

Simple!

Take this for example:

$\ \sf \Large \color{red}{a}(b + c) = \color{red}{a}b + \color{red}{a}c $

anonymous · Answer

i would line it up.. i am trying to figure how to show you

the_fizicx99 · Answer

With that in mind, be careful with the signs!

Take the first term, -1(4x^3) = -4x^3 because 4x^3 is positive and you're multiplying by a negative. 

A negative * a positive = negative

anonymous · Answer

So since negative, -x^3 + x^2 - 25 ..?
I feel not very smart right now lol.
Distributing has always been difficult for me.

anonymous · Answer

9x^3+3x^2+16
4x^3-2x^2-3

5x^3+3x^2+19

the_fizicx99 · Answer

|dw:1401757044592:dw|