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We know that
(x
2
+y
2
+z
2
+2xy+2yz+zx)=(x+y+z)
2
(i) 4x
2
+9y
2
+16z
2
+12xy−24yz−16xz
=(2x)
2
+(3y)
2
+(−4z)
2
+2(2x)(3y)+2(3y)(−4z)+2(−4z)(2x)
=(2x+3y−4z)
2
=(2x+3y−4z)(2x+3y−4z)
(ii) 2x
2
+y
2
+8z
2
−2
2
xy+4
2
yz−8zx
=(−
2
x)+(y)
2
+(
2
z)+2(−
2
x)(y)+2(y)(2
2
z)+2(2
2
z)(y)
=(−
2
x+y+2
2
z)
2
=(−
2
x+y+2
2
z)(−
2
x+y+2
2
z)
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hi abhi bansal pls assept my fried request.
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