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QUESTION

If ##a^2 + b^2 = 4## and ##(a-b)^2 =2##, what is the value of ##ab##?

1

Given : ##a^2 + b^2 =4##.......1 ##(a-b)^2=2##.....2

First expand the 2 equation : ##(a-b)^2=2## ##a^2-2ab+b^2=2## ##a^2+b^2-2ab=2##........3

put 1 equation into 3 equation : ##a^2+b^2-2ab=2## ##4-2ab=2## ##4-2=2ab## ##2ab=2## ##ab=2/2=1##

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