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What is the value of m^2 - 2mn + n^2 for m = -2 and n = 4?

a. -36
b. -4
c. 4
d. 36

User Jimp
by
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1 Answer

3 votes

Instead of plugging in
m=-2 and
n=4 right away, notice that


m^2-2mn+n^2=(m-n)^2

and now evaluating this expression at the two given values is easier, if only a little:


((-2)-4)^2=(-6)^2=(-1)^2*6^2=1*36=36

User Rajesh Hegde
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8.4k points