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Recognize the given expression as a quadratic trinomial.

May 11, 2026Mathematics

ScanSolve AI Answer

Answer

(x+1)^2

3 steps

Recognize the given expression as a quadratic trinomial.
The expression is in the form $ax^2 + bx + c$ , where $a=1$ , $b=2$ , and $c=1$ .
Factor the trinomial.
This expression is a perfect square trinomial, which follows the pattern $(A+B)^2 = A^2 + 2AB + B^2$ .
Here, $A^2 = x^2$ , so $A=x$ .
And $B^2 = 1$ , so $B=1$ .
Check the middle term: $2AB = 2(x)(1) = 2x$ , which matches the given expression.
Write the factored form.
$x^2 + 2x + 1 = (x+1)^2$
The simplified expression is:
$(x+1)^2$