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Question
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express ((x - 11)^2) as a trinomial in standard form.
answer attempt 1 out of 2
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Step1: Recall the formula for squaring a binomial
The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = x\) and \(b = 11\).
Step2: Apply the formula
Substitute \(a = x\) and \(b = 11\) into the formula:
\((x - 11)^2 = x^2 - 2\times x\times11 + 11^2\)
Step3: Simplify the terms
Calculate each term:
\(-2\times x\times11=-22x\) and \(11^2 = 121\).
So, \((x - 11)^2=x^2-22x + 121\)
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\(x^2-22x + 121\)