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We need to find the product of (x+y+z) and (x+y−z)
Their product is:
=x(x+y−z)+y(x+y−z)+z(x+y−z)
=x
2
+xy−xz+xy+y
2
−yz+zx+yz−z
2
=x
2
+y
2
−z
2
+2xy
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