What is the difference between the two polynomials? (7y² + 6xy) - (-2xy + 3)

Solution:

Polynomials are algebraic expressions that consist of variables and coefficients.

Variables are also sometimes called indeterminates.

Given, the polynomials are

7y² + 6xy, and -2xy + 3

We have to find the difference between the two polynomials.

Now, difference = (7y² + 6xy) - (-2xy + 3)

By multiplying the negative sign inside the bracket we get

= 7y² + 6xy + 2xy - 3

= 7y² + 8xy - 3

Therefore, the difference between the two polynomials is 7y² + 8xy - 3.

What is the difference between the two polynomials? (7y² + 6xy) - (-2xy + 3)

Summary:

The difference between the two polynomials (7y² + 6xy) and (-2xy + 3) is 7y² + 8xy - 3.