Add(1/12X^4+6/7X^3+3/8X^2+5)+ (-7/12X^4+5/8X^2-5).

Thank you so much for your help.

combine like terms:

http://www.purplemath.com/modules/polydefs2.htm

To add the given algebraic expression,

(1/12X^4 + 6/7X^3 + 3/8X^2 + 5) + (-7/12X^4 + 5/8X^2 - 5),

we need to combine like terms and simplify.

First, let's combine the terms with the same variable exponent:

(1/12X^4 - 7/12X^4) + (6/7X^3) + (3/8X^2 + 5/8X^2) + (-5).

Subtracting the terms with the same variable exponent (X^4), we get:

(-6/12X^4) + (6/7X^3) + (8/8X^2) + (-5).

Next, let's simplify the expression further.

-6/12X^4 can be simplified as -1/2X^4, since both the numerator and denominator are divisible by 6.
8/8X^2 simplifies to 1X^2 or simply X^2.

Now we have:

-1/2X^4 + 6/7X^3 + X^2 - 5.

So, the simplified expression after addition is:

-1/2X^4 + 6/7X^3 + X^2 - 5.