simplify (-11+i)^2

Solution

simplify

(- 11 + i)^{2}

120 - 22 i

Solution steps

(- 11 + i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(- 11 + i)^{2} = (- 11)^{2} + 2 (- 11) i + i^{2}

= (- 11)^{2} + 2 (- 11) i + i^{2}

Simplify

(- 11)^{2} + 2 (- 11) i + i^{2} : - 22 i + 120

= - 22 i + 120

Rewrite in standard complex form:

120 - 22 i

= 120 - 22 i

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