What is expand 2^xleft(2^n-1) ?

The solution to expand 2^xleft(2^n-1) is e2^{n+x}lft-e2^xlft

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expand 2^xleft(2^n-1)

expand

2^{x} l e f t (2^{n} - 1)

e 2^{n + x} l f t - e 2^{x} l f t

Solution steps

2^{x} l e f t (2^{n} - 1)

= e 2^{x} l f t (2^{n} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = 2^{x} l e f t, b = 2^{n}, c = 1

= 2^{x} l e f t \cdot 2^{n} - 2^{x} l e f t \cdot 1

= e 2^{n} \cdot 2^{x} l f t - 1 e 2^{x} l f t

Simplify

e 2^{n} \cdot 2^{x} l f t - 1 e 2^{x} l f t : e 2^{n + x} l f t - e 2^{x} l f t

= e 2^{n + x} l f t - e 2^{x} l f t

\frac{( 3 - x ) ( 2 - x )}{2}

2 sec (x) (tan (x) + sec (x))

(- 2 + 6 - x)^{2}

\frac{x + 2 ( 3 - x ) ^{4}}{( x + 1 ) ^{5}}

\frac{50}{( s + 2 ) ^{2}}

What is expand 2^xleft(2^n-1) ?
The solution to expand 2^xleft(2^n-1) is e2^{n+x}lft-e2^xlft