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Popular >

expand 2^x*(2^x-2)

Solution

expand

2^{x} \cdot (2^{x} - 2)

Solution

4^{x} - 2^{x + 1}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

2^{x} (2^{x} - 2) = 2^{x} \cdot 2^{x} - 2^{x} \cdot 2

= 2^{x} \cdot 2^{x} - 2^{x} \cdot 2

Simplify

2^{x} \cdot 2^{x} - 2^{x} \cdot 2 : 4^{x} - 2^{x + 1}

= 4^{x} - 2^{x + 1}

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Frequently Asked Questions (FAQ)

What is expand 2^x*(2^x-2) ?
The solution to expand 2^x*(2^x-2) is 4^x-2^{x+1}