simplify: �ã(x^2+2x+1)
simplify:
√(x^2+2x+1)
=√(x+1)²
=x+1
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To simplify the expression �ã(x^2+2x+1), we can start by factoring the quadratic expression inside the parentheses.
The given expression (x^2+2x+1) is a perfect square trinomial, which means it can be factored as the square of a binomial.
To find the binomial, we can take the square root of the first and last terms of the trinomial, and then double the coefficient of the middle term.
In this case, the square root of x^2 is x, the square root of 1 is 1, and doubling 1 gives 2.
So, we can factor the expression as (x+1)^2.
Therefore, the simplified expression is �ã(x+1)^2.