| -8|-|-10|=? please answer this question
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1
8-10=-2.
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0
if ||a|-|b||<=|a-b|
so a^2–2|ab|+b^2<=a^2–2ab+b^2
then -2|ab|<=–2ab
so |ab|>=ab
a=-8 , b=-10
| -8|-|-10|
= |(-8)-(-10)|
=
![{ - 8}^{2} - 2( - 8)( - 10) + ( { - 10}^{2} ) { - 8}^{2} - 2( - 8)( - 10) + ( { - 10}^{2} )](https://tex.z-dn.net/?f=+%7B+-+8%7D%5E%7B2%7D++-+2%28+-+8%29%28+-+10%29+%2B+%28+%7B+-+10%7D%5E%7B2%7D+%29)
= 64−160+100
=4
so a^2–2|ab|+b^2<=a^2–2ab+b^2
then -2|ab|<=–2ab
so |ab|>=ab
a=-8 , b=-10
| -8|-|-10|
= |(-8)-(-10)|
=
= 64−160+100
=4
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