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Popular >

expand 3e^{2(x+1)}-(2e)^x(e^4+9)+3e^2*4^x

Solution

expand

3 e^{2 (x + 1)} - (2 e)^{x} (e^{4} + 9) + 3 e^{2} \cdot 4^{x}

Solution

3 e^{2 x + 2} - 2^{x} e^{4 + x} - 9 (2 e)^{x} + 3 e^{2} \cdot 4^{x}

Solution steps

3 e^{2 (x + 1)} - (2 e)^{x} (e^{4} + 9) + 3 e^{2} \cdot 4^{x}

= 3 e^{2 (x + 1)} - (e^{4} + 9) (2 e)^{x} + 3 e^{2} \cdot 4^{x}

Expand

- (2 e)^{x} (e^{4} + 9) : - 2^{x} e^{4 + x} - 9 (2 e)^{x}

= 3 e^{2 (x + 1)} - 2^{x} e^{4 + x} - 9 (2 e)^{x} + 3 e^{2} \cdot 4^{x}

e^{2 (x + 1)} = e^{2 x + 2}

= 3 e^{2 x + 2} - 2^{x} e^{x + 4} - 9 (2 e)^{x} + 3 e^{2} \cdot 4^{x}

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Frequently Asked Questions (FAQ)

What is expand 3e^{2(x+1)}-(2e)^x(e^4+9)+3e^2*4^x ?
The solution to expand 3e^{2(x+1)}-(2e)^x(e^4+9)+3e^2*4^x is 3e^{2x+2}-2^xe^{4+x}-9(2e)^x+3e^2*4^x