factories using suitable identity [2x +1]
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x
2
−y
2
+2x+1
=(x
2
+2x+1)−y
2
using (a+b)
2
=a
2
+2ab+b
2
=(x+1)
2
−y
2
=(x+1+y)(x+1−y) using a
2
−b
2
=(a−b)(a+b)
=(x+y+1)(x−y+1)
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