a, b, c, d >= 0

a, b, c, d <= 1

prove that the following inequality holds:

(a+b+c+d+1)^2 >= 4*(a^2+b^2+c^2+d^2)

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- March 4th 2011, 12:10 AMRedHeartbeatProve that the inequality holds
a, b, c, d >= 0

a, b, c, d <= 1

prove that the following inequality holds:

(a+b+c+d+1)^2 >= 4*(a^2+b^2+c^2+d^2) - March 4th 2011, 11:29 AMpickslides
Have you tried expanding out the left hand side?