Add

x^2+13x+x^2-10x
x^2-7x x^2-7x

Are these two different additions?

yes

In the equation


(3x-12) over 50 + x over 10 = 2 over 25 + (x-2) over 100

to clear the fractions from the equation, we need to multiply each term by _______.

To add these expressions, we need to combine like terms. Like terms have the same variables and exponents.

The given expressions are:
x^2 + 13x + x^2 - 10x
x^2 - 7x x^2 - 7x

To add them, let's group the like terms together:
(x^2 + x^2) + (13x - 10x) + (x^2 - 7x) + (x^2 - 7x)

Combine the like terms within each parenthesis:
2x^2 + 3x - 14x + 2x^2 - 14x

Combine the like terms:
(2x^2 + 2x^2) + (3x - 14x - 14x)

Add the coefficients of the like terms:
4x^2 - 25x

So the sum of the given expressions is 4x^2 - 25x.