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Popular >

expand (1+ce^t)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = c e^{t}

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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