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)

D is correct.  ( 4m - 5 ) + ( -6m + 7 - 2n )

Step-by-step explanation:

We are given a difference of two polynomial

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

We need to choose correct choice which is equivalent to given expression.

Here we have minus sign between two parentheses.

First we distribute minus sign over (6m-7+2n) using distributive property.

Minus sign will distribute with each term inside (6m-7+2n).

When it will distribute it changes the sign of each term inside the parentheses.

After distribution we get

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

Thus, D is correct option which is similar to given expression.

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step-by-step explanation: