en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8+7i)^2

Solution

simplify

(8 + 7 i)^{2}

Solution

15 + 112 i

Solution steps

(8 + 7 i)^{2}

Apply Perfect Square Formula:

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

(8 + 7 i)^{2} = 8^{2} + 2 \cdot 8 \cdot 7 i + (7 i)^{2}

= 8^{2} + 2 \cdot 8 \cdot 7 i + (7 i)^{2}

Simplify

8^{2} + 2 \cdot 8 \cdot 7 i + (7 i)^{2} : 112 i + 15

= 112 i + 15

Rewrite in standard complex form:

15 + 112 i

= 15 + 112 i

Popular Examples

simplify (2+2i)^{-1}simplify

(2 + 2 i)^{- 1}

simplify \sqrt[3]{324000}simplify

expand (z+4)^2 expand

(z + 4)^{2}

expand x(2y-5z+1)expand

x (2 y - 5 z + 1)

simplify 6x^2+14x-9x simplify

6 x^{2} + 14 x - 9 x

Frequently Asked Questions (FAQ)

What is (8+7i)^2 ?
The solution to (8+7i)^2 is 15+112i