Question

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

Explanation:

Step1: Rewrite subtraction as addition

Subtracting a polynomial = adding its opposite: $(4m - 5) - (6m - 7 + 2n) = (4m -5) + [-(6m -7 +2n)]$

Step2: Distribute the negative sign

$-(6m -7 +2n) = -6m +7 -2n$

Step3: Form the final expression

Combine: $(4m -5) + (-6m +7 -2n)$

Answer:

(4m - 5) + (-6m + 7 - 2n)