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Popular >

expand (3e^x+2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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