List the like terms in the following group of terms.
–7u, 4tu2, 4t2u, –5tu2, 7tu2, 6t2
did I do this correct?
(4tu² + 7tu² + -5tu²) + 4t²u +6t² +-7u
It should be...
6t^2 + 4t^2u + 7tu^2 - 7u
how come you don't use the 4tu^2
oh i am sorry...it should be 6tu^2 instead of 7tu^2
sorry about that:)
the -5, 7, and 4 should be combined
To identify like terms in a group of terms, you need to look for terms that have the same variables with the same exponents. In the given group of terms, the like terms are the ones that have the same variable combination.
Let's break down the terms in the group:
-7u, 4tu^2, 4t^2u, -5tu^2, 7tu^2, 6t^2
Now, let's simplify the terms to identify the like terms:
-7u
4tu^2
4t^2u
-5tu^2
7tu^2
6t^2
To identify the like terms, we can combine the coefficients of the terms that have the same variable combination:
-7u (no like term)
4tu^2 (no like term)
4t^2u (no like term)
-5tu^2 and 7tu^2 (like terms with the same variables, so we combine the coefficients: -5 + 7 = 2tu^2)
6t^2 (no like term)
Finally, combining all the like terms, we have:
2tu^2 - 7u + 6t^2
So, the like terms in the given group are 2tu^2, -7u, and 6t^2.