CEMC Fermat

Algebra Difficulty 1.9 Junior Find the answer

For every real number $x$ , what is the value of the expression $(x+1)^{2} - x^{2}$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Expanding and simplifying, $(x+1)^{2} - x^{2} = (x^{2} + 2x + 1) - x^{2} = 2x + 1$ .

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