(7ab+4a2b4)+(a2b4-7ab)

The 2 and 4 are on top of the a and b. (sqare #)

You need to find the like terms, for example, a²b4 and 4a²b4 are like terms.

You can add them together to make 5a²b4.
So
a²b4+4a²b4=5a²b4

Like terms must have the same variables each raised to the same power. We can add like terms by adding the coefficients, as we did above.

ahh so the 7ab cancels because of the -7ab so answer is 5a²b4. I thought it was 4a4b8

Thank you

yes 7 a b - 7 a b = 0

and the answer is
5 a^2 b^4

Your answer is correct.

so its 4a^2b^8?

I mean this is correct:

"ahh so the 7ab cancels because of the -7ab so answer is 5a²b4."

Post it.

"...so answer is 5a²b4"

To simplify the expression (7ab + 4a^2b^4) + (a^2b^4 - 7ab), we can combine like terms.

First, let's group the terms with the same variables together:

(7ab + 4a^2b^4) + (a^2b^4 - 7ab)
= 7ab + (-7ab) + 4a^2b^4 + a^2b^4
= (7ab - 7ab) + (4a^2b^4 + a^2b^4)

Since (7ab - 7ab) and (4a^2b^4 + a^2b^4) have no other like terms to combine, we can simplify them as follows:

(7ab - 7ab) equals zero, since positive 7ab minus 7ab is zero.

So, we are left with:

(0) + (4a^2b^4 + a^2b^4)
= 4a^2b^4 + a^2b^4

Now, let's simplify further by combining the coefficients (numbers) and applying the exponent rules for multiplying variables:

4a^2b^4 + a^2b^4
= (4 + 1)a^2b^4
= 5a^2b^4

Therefore, the simplified expression is 5a^2b^4.