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Popular >

simplify (i+1)^3

Solution

simplify

(i + 1)^{3}

Solution

- 2 + 2 i

Solution steps

(i + 1)^{3}

Apply Perfect Cube Formula:

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

(i + 1)^{3} = i^{3} + 3 i^{2} \cdot 1 + 3 i 1^{2} + 1^{3}

= i^{3} + 3 i^{2} \cdot 1 + 3 i 1^{2} + 1^{3}

Simplify

i^{3} + 3 i^{2} \cdot 1 + 3 i 1^{2} + 1^{3} : 2 i - 2

= 2 i - 2

Rewrite in standard complex form:

- 2 + 2 i

= - 2 + 2 i

Popular Examples

factor x^2+14x+24 factor

x^{2} + 14 x + 24

simplify 5/6+a/2 simplify

\frac{5}{6} + \frac{a}{2}

A=30*20-(pi/4)*(6^2)

A = 30 \cdot 20 - (\frac{π}{4}) \cdot (6^{2})

6 (x + 6) = 4 x - 2

simplify 3/4 pi simplify

\frac{3}{4} π

Frequently Asked Questions (FAQ)

What is (i+1)^3 ?
The solution to (i+1)^3 is -2+2i