What is expand 256e^{4x}*(10x^6-6x^5) ?

The solution to expand 256e^{4x}*(10x^6-6x^5) is 2560e^{4x}x^6-1536e^{4x}x^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 256e^{4x}*(10x^6-6x^5)

expand

256 e^{4 x} \cdot (10 x^{6} - 6 x^{5})

2560 e^{4 x} x^{6} - 1536 e^{4 x} x^{5}

Solution steps

256 e^{4 x} (10 x^{6} - 6 x^{5})

Apply the distributive law:

a (b - c) = ab - a c

a = 256 e^{4 x}, b = 10 x^{6}, c = 6 x^{5}

= 256 e^{4 x} \cdot 10 x^{6} - 256 e^{4 x} \cdot 6 x^{5}

= 256 \cdot 10 e^{4 x} x^{6} - 256 \cdot 6 e^{4 x} x^{5}

Simplify

256 \cdot 10 e^{4 x} x^{6} - 256 \cdot 6 e^{4 x} x^{5} : 2560 e^{4 x} x^{6} - 1536 e^{4 x} x^{5}

= 2560 e^{4 x} x^{6} - 1536 e^{4 x} x^{5}

(- e^{- t} + e^{- 2 t}) u (- t)

\frac{( s + 1 ) e ^{5} s}{( s ^{2} + 2 s + 10 )}

\frac{( x ^{2 (2 n + 1)} + 3 ^{2 n + 1} )}{7}

\frac{1}{x ^{2} ( x + 5 )}

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

What is expand 256e^{4x}*(10x^6-6x^5) ?
The solution to expand 256e^{4x}*(10x^6-6x^5) is 2560e^{4x}x^6-1536e^{4x}x^5