en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5+i)^2

Solution

simplify

(5 + i)^{2}

Solution

24 + 10 i

Solution steps

(5 + i)^{2}

Apply Perfect Square Formula:

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

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

= 5^{2} + 2 \cdot 5 i + i^{2}

Simplify

5^{2} + 2 \cdot 5 i + i^{2} : 10 i + 24

= 10 i + 24

Rewrite in standard complex form:

24 + 10 i

= 24 + 10 i

Popular Examples

simplify 1/8 x^3-1/27 y^3 simplify

\frac{1}{8} x^{3} - \frac{1}{27} y^{3}

8 x^{2} + 8 x + 1 = 0

simplify (2b+7)/(9b)+(b+4)/(6b)simplify

\frac{2 b + 7}{9 b} + \frac{b + 4}{6 b}

0 = 3 x^{2} - 8 x + 5

log_{sqrt(6)}(x^2-5x)>2

lo g_{6} (x^{2} - 5 x) > 2

Frequently Asked Questions (FAQ)

What is (5+i)^2 ?
The solution to (5+i)^2 is 24+10i