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If a + b = 6, a - b = 2, then the value of 2*(a^2 + b^2 ) is :
here we are given with
a + b = 6.......(1)
a - b = 2...(2)
adding both equations
2a = 8
a = 4
so b = 2
we need to calculate $$2 \times (a^2 + b^2 ) = 2 \times (4^2 + 2^2) = 40$$
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