14m^2 n^3 + 6 m^3 n^3 + 3m^2 n^3 =
ANSWER: 23m^6 n^9
Nope,
as I told you yesterday, you can only add/subtract "like" terms, that is
they must be the same in their variables and exponents.
So here I see two terms ending in m^2n^3 and one term ending in m^3m^3, so their sum is
17m^2n^3 + 6m^3n^3
(think of it this way:
14 apples + 6 oranges + 3 apples,
so you would have 17 apples + 6 oranges )
14m^2 n^3 + 6 m^2 n^3 + 3m^2 n^3 =
... and now you have changed it to
14 apples + 6 apples + 3 apples.
so is 23m^6 n^9 correct
NOOOOOO!
why are you changing the exponents???
answer: 23m^2n^3
To simplify the expression 14m^2 n^3 + 6 m^3 n^3 + 3m^2 n^3, we can combine like terms by adding up the coefficients of the terms with the same variables raised to the same powers.
Let's break down the given expression term by term:
14m^2 n^3: This term has a coefficient of 14 and variables m and n, both raised to the power of 3.
6m^3 n^3: This term has a coefficient of 6 and variables m and n, both raised to the power of 3.
3m^2 n^3: This term has a coefficient of 3 and variables m and n, both raised to the power of 3.
Now, let's combine the like terms by adding their coefficients:
(14 + 6 + 3)m^2 n^3
Simplifying the coefficient:
23m^2 n^3
Therefore, the simplified expression is 23m^2 n^3.
Note: The given expression does not result in 23m^6 n^9. It seems that there might be a mistake while simplifying.