Which expression can be used to find the difference between the polynomials? (4m - 5) - (6m - 7 + 2n)
A. (4m - 5) + (6m - 7 + 2n)  B. (4m - 5) + (6m + 7 + 2n)  C. (4m - 5) - (6m - 7 + 2n)  D. (4m + 5) + (6m + 7 + 2n)

Solution:

Polynomials are algebraic expressions that have variables and coefficients with variables having positive integral powers.

Given: difference of two polynomial,

(4m -  5) - (6m - 7 + 2n)

⇒ (4m - 5 - 6m - ( -7 ) - 2n)

⇒ ( 4m - 6m - 5 + 7 - 2n)

⇒ (-2m + 2 - 2n)

Thus, the difference between the polynomials (4m - 5) - (6m - 7 + 2n) is (-2m + 2 - 2n).

Which expression can be used to find the difference between the polynomials? (4m - 5) - (6m - 7 + 2n)

Summary:

Option(c) can be used to find the difference between the polynomials. The difference between the polynomials (4m - 5) - (6m - 7 + 2n) is (-2m + 2 - 2n)