Peters Lawson
08/31/2023 · Primary School

Write the expression in the standard form a + bi. \( (11+i)^{2} \) \( (11+i)^{2}= \) \( ( \) Type your answer in the form \( a+b i \).

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Expand the expression \( (11+i)^{2} \) Simplify the expression by following steps: - step0: Evaluate the power: \(\left(11+i\right)^{2}\) - step1: Expand the expression: \(11^{2}+2\times 11i+i^{2}\) - step2: Multiply the terms: \(11^{2}+22i-1\) - step3: Calculate: \(121+22i-1\) - step4: Simplify the expression: \(120+22i\) The expression \( (11+i)^{2} \) expands to \( 120+22i \) in the standard form \( a+bi \), where \( a = 120 \) and \( b = 22 \).

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\( 120+22i \)
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