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Popular >

expand (e^x+4)^2

Solution

expand

(e^{x} + 4)^{2}

Solution

e^{2 x} + 8 e^{x} + 16

Solution steps

(e^{x} + 4)^{2}

Apply Perfect Square Formula:

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

a = e^{x}, b = 4

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

Simplify

(e^{x})^{2} + 2 e^{x} \cdot 4 + 4^{2} : e^{2 x} + 8 e^{x} + 16

= e^{2 x} + 8 e^{x} + 16

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Frequently Asked Questions (FAQ)

What is expand (e^x+4)^2 ?
The solution to expand (e^x+4)^2 is e^{2x}+8e^x+16