Question

Доказать: (а-4)²>а•(а-2•4)

Answer 1

( а - 4 )^2 > а( а - 2 • 4 )
а^2 - 8а + 16 > а^2 - 8а
16 > 0

Answer 2

(a-4)²=a²-8a+16=a•(a-8)+16=a²-8a+16
a•(a-2•4)=a•(a-8)=a²-8a
a²-8a+16>a²-8a
16>0