Question

help with polynomials?

Answer 1

(3AB+Asquared +Bsquared) + (4Bsquared - 3AB + 3Asquared)

Answer 2

hunger games :D

Answer 3

:)

Answer 4

can you guys help me

Answer 5

\((3AB + A^2 + B^2) + (4B^2 - 3AB + 3A^2)\)
Add together like-terms. \(kA^2 + hA^2 = (k + h)A^2\), \(kAB + hAB = (k + h)AB\), etc.

Answer 6

You can reorder the expression using the commutative and associative properties of addition (nothing multiplied to the parentheses, its just addition so we can remove them):
\((3AB - 3AB) + (A^2 + 3A^2) + (B^2 + 4B^2)\)
Then you just add the coefficients together. Makes sense?

Answer 7

it helps a bit

Answer 8

Then by factoring:
\((3 - 3)AB + (1 + 3)A^2 + (1+4)B^2\)
Simplifying, we get
\(0AB + 4A^2 + 5B^2 \\ = \mathbf{4A^2 + 5B^2}\)

Answer 9

yah thats right i get it thanks

Answer 10

The less rigorous approach is pretty much just looking at the like terms, usually faster than doing the "pair the like terms, factor, and simplify" stuff: Once you simplify it to only addition and subtractions:
\(\color{green}{3AB} + \color{purple}{A^2} + \color{red}{B^2} + \color{red}{4B^2} \color{green}{- 3AB} + \color{purple}{3A^2}\)
The \(3AB\) and \(-3AB\) cancel, add coefficients of \(A^2\) and \(B^2\) terms

You're welcome. :)