Find the sum in simplest form.
7mn + 5m^2 + 3n^2 + 2mn
a) 15m^2n^2 + 9mn
b) 7mn + 5m^2 +3n^2 + 2mn
c) 15m^2n^2 + 9m^2n^2
d) 5m^2 +3n^2 + 9mn
i think i figure out this answer myself its d but i could be wrong
d is it
the 2 and the 7 mn s are all the like terms you can combine
(−5m + 7mn) − (2mn + 7m)
To find the sum in simplest form, you need to combine like terms.
In the given expression, we have the terms:
- 7mn
- 5m^2
- 3n^2
- 2mn
To combine the like terms, we add the coefficients of the same variables.
Starting with the variable "m," we have:
7mn + 2mn = 9mn
Moving to the variable "n," we have:
3n^2
Since there are no other terms with the variable "n," we can't combine it with any other term.
Finally, we can't combine 5m^2 with any other term since it doesn't have the same variable.
Putting it all together, the sum in simplest form is:
9mn + 5m^2 + 3n^2
Therefore, the correct option is b) 7mn + 5m^2 + 3n^2 + 2mn.