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

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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

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