Question

$(x + 1) ^{2} - x ^{2} = 0$
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Answer 1

from identity, (a+b)^2  =   a^2  + b^2 + 2ab

it simplifies to,

1 + 2x = 0

hence,

x=-1/2

Answer 2

Answer:

(x+1)^2-x^2=0

x^2+2x+1^2-x^2=0

2x+1=0

2x=-1

x=-1/2