If $$(x + 1)^2 − (x − 1)^2 = 32$$, what is the value of $$x$$?

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Uniteasy Admin · Accepted Answer

Appy difference of squares identity on the left hand side
$$(x + 1)^2 − (x − 1)^2 $$
$$=[(x+1)+(x-1)][(x+1)-(x-1)]$$
$$=2x(2)$$
$$=4x $$$$= 32$$
Divide both sides by 4
Therefore, $$x = 8$$

Multiple Choice Question (MCQ)

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