en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4-3i)^2

Solution

simplify

(4 - 3 i)^{2}

Solution

7 - 24 i

Solution steps

(4 - 3 i)^{2}

Apply Perfect Square Formula:

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

(4 - 3 i)^{2} = 4^{2} - 2 \cdot 4 \cdot 3 i + (3 i)^{2}

= 4^{2} - 2 \cdot 4 \cdot 3 i + (3 i)^{2}

Simplify

4^{2} - 2 \cdot 4 \cdot 3 i + (3 i)^{2} : - 24 i + 7

= - 24 i + 7

Rewrite in standard complex form:

7 - 24 i

= 7 - 24 i

Popular Examples

(2 x - 3)^{2} = 49

x + 6 = 14

simplify 1/5*1/4 simplify

\frac{1}{5} \cdot \frac{1}{4}

simplify e^{-3}+(3e^{-3})/2+(9e^{-3})/2 simplify

e^{- 3} + \frac{3 e ^{- 3}}{2} + \frac{9 e ^{- 3}}{2}

factor 25x^4-36y^2 factor

25 x^{4} - 36 y^{2}

Frequently Asked Questions (FAQ)

What is (4-3i)^2 ?
The solution to (4-3i)^2 is 7-24i