The required result of the identity is [tex]x^{2} =-y^{2}-2x+16y-56[/tex].
To isolate the algebraic expression given below we need to simplify it and then make [tex]x^{2}[/tex] the subject of the equation,
For that we must know the identity [tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex].
We will break the given equation on the basis of the given identity.
Now, [tex](x+1)^{2} +(y-8)^{2}=9\\[/tex]
⇒[tex]x^{2} +2x+1+y^{2}-16y+64=9\\[/tex]
⇒ [tex]x^{2} =-y^{2}-2x+16y-56[/tex]
So, the required result of isolating the above given equation is as above.
The correct answer is option B.
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