What is expand (t(x)+2)^2(e)' ?

The solution to expand (t(x)+2)^2(e)' is e^'t^2x^2+4e^'tx+4e^'

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expand (t(x)+2)^2(e)'

expand

(t (x) + 2)^{2} e^{^{'}}

e^{'} t^{2} x^{2} + 4 e^{'} t x + 4 e^{'}

Solution steps

(t (x) + 2)^{2} e^{^{'}}

Remove parentheses:

(a) = a

= (t x + 2)^{2} e^{^{^{'}}}

(t x + 2)^{2} = t^{2} x^{2} + 4 t x + 4

= e^{^{^{'}}} (t^{2} x^{2} + 4 t x + 4)

= e^{^{^{'}}} (t^{2} x^{2} + 4 t x + 4)

Distribute parentheses

= e^{^{^{'}}} t^{2} x^{2} + e^{^{^{'}}} \cdot 4 t x + e^{^{^{'}}} \cdot 4

= e^{^{^{'}}} t^{2} x^{2} + 4 e^{^{^{'}}} t x + 4 e^{^{^{'}}}

\frac{1}{( 2 a + 1 ) a ^{2}}

y (y^{2} + \frac{- 31 y - 69}{10})

x (x + 6) (x + 3 - 5) (x + 3 + 5)

- 2 (- 4 - 33)

(x^{2} + 4)^{2} (x - 2 i)^{2}

What is expand (t(x)+2)^2(e)' ?
The solution to expand (t(x)+2)^2(e)' is e^'t^2x^2+4e^'tx+4e^'