xy + yz +zx whole Square
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Solution :
***************************†************
We know the algebraic identity:
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
****************************************
Here ,
(xy+yz+zx)²
= (xy)²+(yz)²+(zx)²+2(xy)(yz)
+2(yz)(zx)+2(zx)(xy)
= x²y²+y²z²+z²x²+2xy²z+2xyz²+2x²yz
••••••
***************************†************
We know the algebraic identity:
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
****************************************
Here ,
(xy+yz+zx)²
= (xy)²+(yz)²+(zx)²+2(xy)(yz)
+2(yz)(zx)+2(zx)(xy)
= x²y²+y²z²+z²x²+2xy²z+2xyz²+2x²yz
••••••
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