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Popular >

expand (t+e^t)^2

Solution

expand

(t + e^{t})^{2}

Solution

t^{2} + 2 e^{t} t + e^{2 t}

Solution steps

(t + e^{t})^{2}

Apply Perfect Square Formula:

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

a = t, b = e^{t}

= t^{2} + 2 t e^{t} + (e^{t})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

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Frequently Asked Questions (FAQ)

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