What is expand (-4-9i)^2 ?

The solution to expand (-4-9i)^2 is -65+72i

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expand (-4-9i)^2

expand

(- 4 - 9 i)^{2}

- 65 + 72 i

Solution steps

(- 4 - 9 i)^{2}

Apply Perfect Square Formula:

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

(- 4 - 9 i)^{2} = (- 4)^{2} - 2 (- 4) \cdot 9 i + (9 i)^{2}

= (- 4)^{2} - 2 (- 4) \cdot 9 i + (9 i)^{2}

Simplify

(- 4)^{2} - 2 (- 4) \cdot 9 i + (9 i)^{2} : 72 i - 65

= 72 i - 65

Rewrite in standard complex form:

- 65 + 72 i

= - 65 + 72 i

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