Question

Consider the following expression -2m(m+n-4)+5(-2m+2n)+n(m+4n-5) which of the following is an equivalent expression

Answer 1

The given expression is

`-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)`

First, we use the distributive property

`-2m^2-2mn+8m-10m+10n+mn+4n^2-5n`

Then, we reduce like terms

`-2m^2+4n^2-mn-2m+5n`

Hence, the equivalent expression is

`-2m^2+4n^2-mn-2m+5n`