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Solution
Expression : $$X^{2}-Y^{2}-Z^{2}+2YZ+X+Y-Z$$
= $$x^2-(y^2+z^2-2yz)+(x+y-z)$$
= $$x^2-(y-z)^2+(x+y-z)$$
= $$[x^2-(y-z)^2]+(x+y-z)$$
Using, $$a^2-b^2=(a-b)(a+b)$$
= $$(x-y+z)(x+y-z)+(x+y-z)$$
= $$(x+y-z)(x-y+z+1)$$
=> Ans - (A)
