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Popular >

simplify (-4-i)^2

Solution

simplify

(- 4 - i)^{2}

Solution

15 + 8 i

Solution steps

(- 4 - i)^{2}

Apply Perfect Square Formula:

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

(- 4 - i)^{2} = (- 4)^{2} - 2 (- 4) i + i^{2}

= (- 4)^{2} - 2 (- 4) i + i^{2}

Simplify

(- 4)^{2} - 2 (- 4) i + i^{2} : 8 i + 15

= 8 i + 15

Rewrite in standard complex form:

15 + 8 i

= 15 + 8 i

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Frequently Asked Questions (FAQ)

What is (-4-i)^2 ?
The solution to (-4-i)^2 is 15+8i