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(m+n)^2 - (m-n)^2 = 16 then mn is​

1 Answer

3 votes

Answer:

mn = 4

Explanation:

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

(m-n)^2 = m^2 - 2mn + n^2 multply the second equation by (-1) then subtract it from first equation

m^2 + 2mn + n^2 - m^2 + 2mn - n^2 = 16

4mn = 16 divide both sides by 4

mn = 4

User Jacques Bourque
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