How do you simplify this polynomial expression? -2(3x-4)^2+(4-3x)(1+2x)? Please provide the answer step by step, thank you!

Question

anonymous · Answer

Wow! So first off, you must distribute into the parentheses. So lets do one at a time.

-2(3x-4) is saying -2 x 3x + -2 x -4. can you solve this?

anguyennn · Answer

-6x + 8x

anonymous · Answer

great. Now that is raised to the power of 2 so it becomes

-6x^2 + 8x^2 

correct?

anguyennn · Answer

Yes

anguyennn · Answer

Would you add -6 to 8 which gives you 2 and then square it?

anguyennn · Answer

Or do you have to do them separately?

anonymous · Answer

good so now lets move on... the next part is tricky but you have to pay attention.

even though it says (4 -3x) its really saying 1 x 4 - 1 x 3x

what is 1 x 4 - 1 x 3x?

anonymous · Answer

oh to answer your previous question, you wouldn't add them, because they aren't the same terms. one has an exponent and one doesn't

anonymous · Answer

|dw:1442005015282:dw|