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Calculus/advanced calculus proof help
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Question
Hi,
I need to show that:
||x -y||*||x +y|| ≤ ||x||² +||y||²
I've tried many things and no luck, any help would be greatly appreciated. I really need help with this problem, I feel like I'm going in circles.
Thank You
John Arthur
If is known that (x-y)(x+y)=x²-y²<=x²+y².
There are only four choices to consider since for any x and y values, x²>0 and y²>0. The four choices are:
x-y, x+y negative
x-y positive, x+y negative
x-y negative, x+y positive
x-y, x+y positive
Write out the equation with the absolute values gone and the appropriate sign changes.
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Answers by Expert:
Scotto
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