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Popular >

simplify (-7-8i)^2

Solution

simplify

(- 7 - 8 i)^{2}

Solution

- 15 + 112 i

Solution steps

(- 7 - 8 i)^{2}

Apply Perfect Square Formula:

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

(- 7 - 8 i)^{2} = (- 7)^{2} - 2 (- 7) \cdot 8 i + (8 i)^{2}

= (- 7)^{2} - 2 (- 7) \cdot 8 i + (8 i)^{2}

Simplify

(- 7)^{2} - 2 (- 7) \cdot 8 i + (8 i)^{2} : 112 i - 15

= 112 i - 15

Rewrite in standard complex form:

- 15 + 112 i

= - 15 + 112 i

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Frequently Asked Questions (FAQ)

What is (-7-8i)^2 ?
The solution to (-7-8i)^2 is -15+112i