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1. We take out the coefficient of x2, a, as a factor from the first two terms:
f(x)=(x2+ x)+22
2. Then we add half of the coefficient of x squared, (b2)2, inside the bracket and subtract it outside a times, a(b2)2.
f(x)=(x2+x+)+22-
3. Then we factorize the bracket and simplify outside the bracket.
f(x)=(x+)2+
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Completing the square
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