en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify i(3+4i)^2

Solution

simplify

i (3 + 4 i)^{2}

Solution

- 24 - 7 i

Solution steps

i (3 + 4 i)^{2}

Expand

(3 + 4 i)^{2} : 24 i - 7

= i (24 i - 7)

Apply the distributive law:

a (b - c) = ab - a c

i (24 i - 7) = i 24 i - i 7

= i 24 i - i 7

i 24 i = - 24

- i 7 = - 7 i

= - 24 - 7 i

Popular Examples

simplify 2(1-i)^2+3(-2+4i)-5(sqrt(3)-2i)^2 simplify

2 (1 - i)^{2} + 3 (- 2 + 4 i) - 5 (3 - 2 i)^{2}

simplify (pi(0.05)^2)/4 simplify

\frac{π ( 0.05 ) ^{2}}{4}

simplify 4/(2+sqrt(3))simplify

\frac{4}{2 + 3}

simplify (1-sin^2(x))/(cos(x))simplify

\frac{1 - sin ^{2} ( x )}{cos ( x )}

simplify-4*(-9)simplify

- 4 \cdot (- 9)

Frequently Asked Questions (FAQ)

What is i(3+4i)^2 ?
The solution to i(3+4i)^2 is -24-7i