en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6+4i)^2

Solution

simplify

(6 + 4 i)^{2}

Solution

20 + 48 i

Solution steps

(6 + 4 i)^{2}

Apply Perfect Square Formula:

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

(6 + 4 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 4 i + (4 i)^{2} : 48 i + 20

= 48 i + 20

Rewrite in standard complex form:

20 + 48 i

= 20 + 48 i

Popular Examples

simplify 9\times 18 simplify

9 \times 18

simplify 9\times (-5)simplify

9 \times (- 5)

simplify 1/6-1/15 simplify

\frac{1}{6} - \frac{1}{15}

expand (2x-3)(3x-7)expand

(2 x - 3) (3 x - 7)

simplify 23\times 4 simplify

23 \times 4

Frequently Asked Questions (FAQ)

What is (6+4i)^2 ?
The solution to (6+4i)^2 is 20+48i