Question
Express \( (x-1)^{2} \) as a trinomial in standard form.
Ask by Wheeler Salinas. in the United States
Feb 21,2025
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Answer
\( (x-1)^{2} = x^{2} - 2x + 1 \)
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Bonus Knowledge
To express \( (x-1)^{2} \) as a trinomial in standard form, we can use the formula for the square of a binomial: \[ (a - b)^{2} = a^{2} - 2ab + b^{2}. \] Here, let \( a = x \) and \( b = 1 \). Applying the formula gives us: \[ (x - 1)^{2} = x^{2} - 2 \cdot x \cdot 1 + 1^{2} = x^{2} - 2x + 1. \] Thus, the expression \( (x-1)^{2} \) as a trinomial in standard form is: \[ x^{2} - 2x + 1. \]
