Add the following ( 2x^2 + 5xy ) + ( 4x - 7xy ) - 2x^2.
To add (2x^2+5xy)+(4x-7xy)-2x^2.
To do the operation of adding , we open the brackets and then bring the like terms together and add the like terms.
2x^2+5xy +4x-7xy -2x^2.
The first term 2x^2 and the 5th term -2x^2 are like terms.
The second term 5xy and the 4th term -7xy are like terms. So collecting the like terms together we get:
(2x^2 -2x^2) + (5xy-7xy) +4x
= 0 - 2xy +4x
Therefore (2x^2+5xy)+(4x-7xy)-2x^2 = 4x-2xy.
When we add or subtract polynomials, we have to find the variables and exponents that match.
First, we'll remove the brackets:
2x^2 + 5xy + 4x - 7xy - 2x^2
Now, we'll search for the terms that have matching variables.
We notice that 2x^2 and -2x^2 have the same variables and opposite coefficients, so we'll eliminate the terms.
2x^2 - 2x^2 = 0
Now, we'll combine the terms that have the variables x*y:
5xy - 7xy = -2xy
We notice that the term 4x is alone and we'll add it to the final result.
The result of adding the polynomials is:
(2x^2 + 5xy) + (4x - 7xy) - 2x^2 = 4x - 2xy