en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-9i)^2

Solution

simplify

(1 - 9 i)^{2}

Solution

- 80 - 18 i

Solution steps

(1 - 9 i)^{2}

Apply Perfect Square Formula:

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

(1 - 9 i)^{2} = 1^{2} - 2 \cdot 1 \cdot 9 i + (9 i)^{2}

= 1^{2} - 2 \cdot 1 \cdot 9 i + (9 i)^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot 9 i + (9 i)^{2} : - 18 i - 80

= - 18 i - 80

Rewrite in standard complex form:

- 80 - 18 i

= - 80 - 18 i

Popular Examples

simplify (9-t)/(3-sqrt(t))simplify

\frac{9 - t}{3 - t}

simplify 8*3/8 simplify

8 \cdot \frac{3}{8}

factor x^2y^5+xy^4 factor

x^{2} y^{5} + x y^{4}

simplify x^2*x^{-6}simplify

x^{2} \cdot x^{- 6}

simplify t^4*t^4 simplify

t^{4} \cdot t^{4}

Frequently Asked Questions (FAQ)

What is (1-9i)^2 ?
The solution to (1-9i)^2 is -80-18i