Question

Polynomial Simplification Walk-through for TGP

Answer 1

the original problem:

(2u^2 + 6) - (7u^2 - 2u - 1) + (-9u^2 - 2u - 1)

let's start w/ the - (7u^2 - 2u - 1) part. the negative sign in front will reverse the signs of everything inside the brackets to get

- 7u^2 + 2u + 1

i think it might be a bit less confusing if you remove the parentheses after you're done distributing

Answer 2

anyway that gives us

(2u^2 + 6) - 7u^2 + 2u +1 + (-9u^2 - 2u - 1)

then we can start w/ the last bracket, the (-9u^2 - 2u - 1) part

the plus sign in front doesn't change any of the signs so we can just remove the brackets to get

(2u^2 + 6) - 7u^2 + 2u +1 -9u^2 - 2u - 1

Answer 3

then finally, we just remove the first set of brackets since there's an implied + sign in front of the first set to get

2u^2 + 6 - 7u^2 + 2u +1 -9u^2 - 2u - 1

Answer 4

I see it now >~< I did it on the problem thingy? o.o

Answer 5

on your problem-sheet there are some sign issues

for example, 2u^2 + (-7u^2) + (-9u^2) which is not equal to -9u^2

it's basically the equivalent of 2 - 7 - 9 which is -14 so -14u^2

Answer 6

Ohhh, I get so mixed up haha >~<!

Answer 7

also, you stated that 2u + 2u = 4u but if you look back at the original problem it has

- (-2u) - 2u which actually means 2u - 2u so actually the u terms cancel out

Answer 8

then it's just 6 as the constant which you did correctly

Answer 9

so your final sol'n should be -14u^2 + 6 in standard form

Answer 10

I understand O.O, grrr lol

Answer 11

haha, don't worry about it, the tricky part is distributing the - signs across brackets

Answer 12

Yes ma'am haha, I will be sure to look at them carefully >~<!! Thank you so much :) <3