If x, y, z are three positive realnumbers, such that x + y + z = a then themaximum value of (a - x)(a - y) * (a - z) * i * s
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Since AM≥HM
3
x+y+z
≥
x
1
+
y
1
+
z
1
3
⇒
3
a
≥
x
1
+
y
1
+
z
1
3
or
x
1
+
y
1
+
z
1
≥
a
9
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