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Popular >

expand (2e^x-3)^2

Solution

expand

(2 e^{x} - 3)^{2}

Solution

4 e^{2 x} - 12 e^{x} + 9

Solution steps

(2 e^{x} - 3)^{2}

Apply Perfect Square Formula:

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

a = 2 e^{x}, b = 3

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

Simplify

(2 e^{x})^{2} - 2 \cdot 2 e^{x} \cdot 3 + 3^{2} : 4 e^{2 x} - 12 e^{x} + 9

= 4 e^{2 x} - 12 e^{x} + 9

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Frequently Asked Questions (FAQ)

What is expand (2e^x-3)^2 ?
The solution to expand (2e^x-3)^2 is 4e^{2x}-12e^x+9