en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10-i)^2

Solution

simplify

(10 - i)^{2}

Solution

99 - 20 i

Solution steps

(10 - i)^{2}

Apply Perfect Square Formula:

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

(10 - i)^{2} = 1 0^{2} - 2 \cdot 10 i + i^{2}

= 1 0^{2} - 2 \cdot 10 i + i^{2}

Simplify

1 0^{2} - 2 \cdot 10 i + i^{2} : - 20 i + 99

= - 20 i + 99

Rewrite in standard complex form:

99 - 20 i

= 99 - 20 i

Popular Examples

simplify-7*(-12)simplify

- 7 \cdot (- 12)

simplify 1/4+5/2 simplify

\frac{1}{4} + \frac{5}{2}

simplify-10-(-12)simplify

- 10 - (- 12)

simplify \sqrt[3]{16/729}simplify

simplify 1/(0.5^2)simplify

\frac{1}{0. 5 ^{2}}

Frequently Asked Questions (FAQ)

What is (10-i)^2 ?
The solution to (10-i)^2 is 99-20i