a-b/3+2c/5 ka whole square
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Solution :
*************************************
We know the algebraic identity :
( x+y+z)² = x²+y²+z²+2xy+2yz+2zx
**************************************
Here ,
( a-b/3+2c/5)²
= [ a +(-b/3) + 2c/5 ]²
= a²+(-b/3)²+(2c/5)²+2a(-b/3)
+2(-b/3)(2c/5) + 2(2c/5)a
= a²+b²/9+(4/25)c²-(2/3)ab
-(4/15)bc+(4/5)ca
••••
*************************************
We know the algebraic identity :
( x+y+z)² = x²+y²+z²+2xy+2yz+2zx
**************************************
Here ,
( a-b/3+2c/5)²
= [ a +(-b/3) + 2c/5 ]²
= a²+(-b/3)²+(2c/5)²+2a(-b/3)
+2(-b/3)(2c/5) + 2(2c/5)a
= a²+b²/9+(4/25)c²-(2/3)ab
-(4/15)bc+(4/5)ca
••••
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