What is factor e^{2t}+e^{2t}+2t^2 ?

The solution to factor e^{2t}+e^{2t}+2t^2 is 2(e^{2t}+t^2)

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

factor

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

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

Solution steps

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

Add similar elements:

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

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

Apply exponent rule:

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

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

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

Factor out common term

2

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

Simplify

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

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

0.75 (8 + e) = 2 - 1.25 e

- 5 x + 12 = 5 x - 5

s^{2} + 10 s + 37 = 0

15 x^{4} \geq 4 x^{2} + 35

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