en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-3i)^2

Solution

simplify

(5 - 3 i)^{2}

Solution

16 - 30 i

Solution steps

(5 - 3 i)^{2}

Apply Perfect Square Formula:

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

(5 - 3 i)^{2} = 5^{2} - 2 \cdot 5 \cdot 3 i + (3 i)^{2}

= 5^{2} - 2 \cdot 5 \cdot 3 i + (3 i)^{2}

Simplify

5^{2} - 2 \cdot 5 \cdot 3 i + (3 i)^{2} : - 30 i + 16

= - 30 i + 16

Rewrite in standard complex form:

16 - 30 i

= 16 - 30 i

Popular Examples

simplify (11/4)^2 simplify

(\frac{11}{4})^{2}

factor a^3+b^3 factor

a^{3} + b^{3}

simplify (8m^3+64)/(4m^2+34m+52)simplify

\frac{8 m ^{3} + 64}{4 m ^{2} + 34 m + 52}

- \frac{x}{4} - 2 = x + 3

-6-3(1+5n)=33-8n

- 6 - 3 (1 + 5 n) = 33 - 8 n

Frequently Asked Questions (FAQ)

What is (5-3i)^2 ?
The solution to (5-3i)^2 is 16-30i