Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

countonme123Best ResponseYou've already chosen the best response.1
(3AB+Asquared +Bsquared) + (4Bsquared  3AB + 3Asquared)
 one year ago

countonme123Best ResponseYou've already chosen the best response.1
can you guys help me
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.1
\((3AB + A^2 + B^2) + (4B^2  3AB + 3A^2)\) Add together liketerms. \(kA^2 + hA^2 = (k + h)A^2\), \(kAB + hAB = (k + h)AB\), etc.
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.1
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?
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.1
Then by factoring: \((3  3)AB + (1 + 3)A^2 + (1+4)B^2\) Simplifying, we get \(0AB + 4A^2 + 5B^2 \\ = \mathbf{4A^2 + 5B^2}\)
 one year ago

countonme123Best ResponseYou've already chosen the best response.1
yah thats right i get it thanks
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.1
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. :)
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.