Answer:
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.
![6m\rightarrow -6m](https://tex.z-dn.net/?f=6m%5Crightarrow%20-6m)
![-7\rightarrow +7](https://tex.z-dn.net/?f=-7%5Crightarrow%20%2B7)
![+2n\rightarrow -2n](https://tex.z-dn.net/?f=%2B2n%5Crightarrow%20-2n)
After distribution we get
( 4m - 5 ) + ( -6m + 7 - 2n )
Thus, D is correct option which is similar to given expression.