What is expand (e^{5x}+4)^2 ?

The solution to expand (e^{5x}+4)^2 is e^{10x}+8e^{5x}+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{5x}+4)^2

expand

(e^{5 x} + 4)^{2}

e^{10 x} + 8 e^{5 x} + 16

Solution steps

(e^{5 x} + 4)^{2}

Apply Perfect Square Formula:

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

a = e^{5 x}, b = 4

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

Simplify

(e^{5 x})^{2} + 2 e^{5 x} \cdot 4 + 4^{2} : e^{10 x} + 8 e^{5 x} + 16

= e^{10 x} + 8 e^{5 x} + 16

ln (1 + a (e^{x} - 1))

\frac{n ^{2} ( n - 1 ) ^{2}}{4}

A (3, 4) y B (5, - 1)

p (- 3, 10) p (6, - 4)

((y + 1) e^{t} - x)^{2}

What is expand (e^{5x}+4)^2 ?
The solution to expand (e^{5x}+4)^2 is e^{10x}+8e^{5x}+16