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Popular >

simplify (-8-9i)^2

Solution

simplify

(- 8 - 9 i)^{2}

Solution

- 17 + 144 i

Solution steps

(- 8 - 9 i)^{2}

Apply Perfect Square Formula:

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

(- 8 - 9 i)^{2} = (- 8)^{2} - 2 (- 8) \cdot 9 i + (9 i)^{2}

= (- 8)^{2} - 2 (- 8) \cdot 9 i + (9 i)^{2}

Simplify

(- 8)^{2} - 2 (- 8) \cdot 9 i + (9 i)^{2} : 144 i - 17

= 144 i - 17

Rewrite in standard complex form:

- 17 + 144 i

= - 17 + 144 i

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Frequently Asked Questions (FAQ)

What is (-8-9i)^2 ?
The solution to (-8-9i)^2 is -17+144i