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Popular >

expand (e^2x+1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2} x, b = 1

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

Simplify

(e^{2} x)^{2} + 2 e^{2} x \cdot 1 + 1^{2} : e^{4} x^{2} + 2 e^{2} x + 1

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

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Frequently Asked Questions (FAQ)

What is expand (e^2x+1)^2 ?
The solution to expand (e^2x+1)^2 is e^4x^2+2e^2x+1