What is e^{t^2}(15t^2e^{t^2}) ?

The solution to e^{t^2}(15t^2e^{t^2}) is 15e^{2t^2}t^2

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simplify e^{t^2}(15t^2e^{t^2})

simplify

e^{t^{2}} (15 t^{2} e^{t^{2}})

15 e^{2 t^{2}} t^{2}

Solution steps

e^{t^{2}} (15 t^{2} e^{t^{2}})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 15 t^{2} e^{t^{2} + t^{2}}

Add similar elements:

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

= 15 t^{2} e^{2 t^{2}}

(1 - x)^{3}

1.1958200000000 \dots \cdot 1 0^{- 7}

4.5 \cdot 1 0^{- 2} \cdot 7742

What is e^{t^2}(15t^2e^{t^2}) ?
The solution to e^{t^2}(15t^2e^{t^2}) is 15e^{2t^2}t^2