Question

$is {(x + 1)}^{2} = 2(x - 3) quadratic \: equation$
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Answer 1

(x+1)^2 = 2(x-3)
=> x^2+2x+1 = 2x-6
=> x^7 = 0

Hence it is a quadratic equation.

Hope this helps

Answer 2

$(x+1)^2 =2(x-3)\\x^2 +2x+1 =2x-6\\x^{2} -0x +7=0$

is still quadratic