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)

Answer 1

it's D

Explanation:

i got it right on edge

Answer 2

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

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`

`-7\rightarrow +7`

`+2n\rightarrow -2n`

After distribution we get

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

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