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Popular >

expand (e^t-1)^2

Solution

expand

(e^{t} - 1)^{2}

Solution

e^{2 t} - 2 e^{t} + 1

Solution steps

(e^{t} - 1)^{2}

Apply Perfect Square Formula:

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

a = e^{t}, b = 1

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

Simplify

(e^{t})^{2} - 2 e^{t} \cdot 1 + 1^{2} : e^{2 t} - 2 e^{t} + 1

= e^{2 t} - 2 e^{t} + 1

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Frequently Asked Questions (FAQ)

What is expand (e^t-1)^2 ?
The solution to expand (e^t-1)^2 is e^{2t}-2e^t+1