What is (5+4i)^2-(1-5i)^2 ?

The solution to (5+4i)^2-(1-5i)^2 is 33+50i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5+4i)^2-(1-5i)^2

simplify

(5 + 4 i)^{2} - (1 - 5 i)^{2}

33 + 50 i

Solution steps

(5 + 4 i)^{2} - (1 - 5 i)^{2}

(5 + 4 i)^{2} = 40 i + 9

(1 - 5 i)^{2} = - 10 i - 24

= 40 i + 9 - (- 10 i - 24)

Expand

- (- 10 i - 24) : 10 i + 24

= 40 i + 9 + 10 i + 24

Group like terms

= 40 i + 10 i + 9 + 24

Add similar elements:

40 i + 10 i = 50 i

= 50 i + 9 + 24

Add the numbers:

9 + 24 = 33

= 50 i + 33

Rewrite in standard complex form:

33 + 50 i

= 33 + 50 i

\frac{x - x ^{2}}{x ^{2} + x - 2}

\frac{2 x ^{2} + x}{x}

- 3 \div \frac{1}{3}

x + 1 + \frac{x}{x + 1}

3 x^{3} + 27 x^{2} + 60 x