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Popular >

simplify (-2+i)^3

Solution

simplify

(- 2 + i)^{3}

Solution

- 2 + 11 i

Solution steps

(- 2 + i)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(- 2 + i)^{3} = (- 2)^{3} + 3 (- 2)^{2} i + 3 (- 2) i^{2} + i^{3}

= (- 2)^{3} + 3 (- 2)^{2} i + 3 (- 2) i^{2} + i^{3}

Simplify

(- 2)^{3} + 3 (- 2)^{2} i + 3 (- 2) i^{2} + i^{3} : 11 i - 2

= 11 i - 2

Rewrite in standard complex form:

- 2 + 11 i

= - 2 + 11 i

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Frequently Asked Questions (FAQ)

What is (-2+i)^3 ?
The solution to (-2+i)^3 is -2+11i