x²-y²+2x+1,factorise the following expression:
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Answer: x²-y²+2x+1
= (x²+2x+1)-y²
using (a+b)²=a²+2ab+b²
=> (x+1)²-y²
= (x+1+y)(x+1-y)
using a²-b²=(a+b)(a-b)
=> (x+y+1)(x-y+1)
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