What is expand (2e^{4t}-5)^2 ?

The solution to expand (2e^{4t}-5)^2 is 4e^{8t}-20e^{4t}+25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2e^{4t}-5)^2

expand

(2 e^{4 t} - 5)^{2}

4 e^{8 t} - 20 e^{4 t} + 25

Solution steps

(2 e^{4 t} - 5)^{2}

Apply Perfect Square Formula:

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

a = 2 e^{4 t}, b = 5

= (2 e^{4 t})^{2} - 2 \cdot 2 e^{4 t} \cdot 5 + 5^{2}

Simplify

(2 e^{4 t})^{2} - 2 \cdot 2 e^{4 t} \cdot 5 + 5^{2} : 4 e^{8 t} - 20 e^{4 t} + 25

= 4 e^{8 t} - 20 e^{4 t} + 25

\frac{2 ( n + 1 )}{n - 1}

(1 + y^{3}) d x + x y^{2} d y

cos (θ) (1 - cos (θ))

\frac{1}{( x + 7 ) x ^{2}}

(3 x + 2 y = 6,) (9 x + 6 y = 20)

What is expand (2e^{4t}-5)^2 ?
The solution to expand (2e^{4t}-5)^2 is 4e^{8t}-20e^{4t}+25