What is expand (-4e^{-4x}+3x^5)^2 ?

The solution to expand (-4e^{-4x}+3x^5)^2 is 16e^{-8x}-24e^{-4x}x^5+9x^{10}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (-4e^{-4x}+3x^5)^2

expand

(- 4 e^{- 4 x} + 3 x^{5})^{2}

16 e^{- 8 x} - 24 e^{- 4 x} x^{5} + 9 x^{10}

Solution steps

(- 4 e^{- 4 x} + 3 x^{5})^{2}

Apply Perfect Square Formula:

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

a = - 4 e^{- 4 x}, b = 3 x^{5}

= (- 4 e^{- 4 x})^{2} + 2 (- 4 e^{- 4 x}) \cdot 3 x^{5} + (3 x^{5})^{2}

Simplify

(- 4 e^{- 4 x})^{2} + 2 (- 4 e^{- 4 x}) \cdot 3 x^{5} + (3 x^{5})^{2} : 16 e^{- 8 x} - 24 e^{- 4 x} x^{5} + 9 x^{10}

= 16 e^{- 8 x} - 24 e^{- 4 x} x^{5} + 9 x^{10}

(n + 1 - 2) (n + 1 + 2)

7 (9 + 3)

\frac{20}{6} (8 + h)^{2}

(a sin (b) + l sin (θ))^{2}

(- sin (2 x) + 3 sin (x))^{2} (- 2 sin (2 x) - 3 sin (x))

What is expand (-4e^{-4x}+3x^5)^2 ?
The solution to expand (-4e^{-4x}+3x^5)^2 is 16e^{-8x}-24e^{-4x}x^5+9x^{10}