How do I prove that one term is greater than the other?

78 Views Asked by Bumbble Comm At 13 Apr 2026 - 1:38

I'm supposed to prove that $$ a^2+b^2 > \dfrac{1}{2}a^2+ab+\dfrac{1}{2}b^2 $$

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Bumbble Comm On 27 Feb 2018 - 1:35 BEST ANSWER

HINT...consider multiplying out $\frac 12(a-b)^2$