Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

add polynomials (2a^4b^2+7a^2b^3)+(a^2b^3-2a^4-b^2)

OpenStudy (anonymous):

k that is what I did

OpenStudy (anonymous):

mine are all gone

OpenStudy (mathstudent55):

To add polynomials, you need to add "like terms" together. Like terms are terms that have exactly the same variable part. That means the variables (letters) and their powers have to be exactly the same. For example, 4x^5y and -6x^5y are like terms. 5x^2y and 7xy^2 are not like terms

OpenStudy (mathstudent55):

First step, drop parenteses: 2a^4b^2 + 7a^2b^3 + a^2b^3 - 2a^4-b^2

OpenStudy (anonymous):

\[(2a ^{4}b ^{2}+7a ^{2}b ^{3})+(a ^{2}b ^{3}-2a ^{4}b ^{2})\]

OpenStudy (mathstudent55):

Next step, move like terms together: 2a^4b^2 - 2a^4-b^2 + 7a^2b^3 + a^2b^3 Next step combine like terms by adding number parts and writing down the variable parts: 8a^2b^3

OpenStudy (mathstudent55):

the 2a^4b^2 - 2a^4b^2 terms cancel each other. It's the same as 2 - 2 = 0

OpenStudy (mathstudent55):

The answer is only 8a^2b^3

OpenStudy (mathstudent55):

Please fix the original question. I think you have an extra minus sign just before the last b^2

OpenStudy (anonymous):

that is what I came up with also, thanks so much for helping me I am going to post a new one know hold on please

OpenStudy (mathstudent55):

ok, I'll look for it.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!