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

The answer is - 2m^2+4n^2-mn-2m+5

The equivalent expression would be

-2m²-mn-2m+5n+4n².

We use the distributive property to multiply each piece of the expression first:

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

= - 2m²-2mn+8m-10m+10n+mn+4n²-5n

Combining like terms gives us:

-2m²-mn-2m+5n+4n²