What is expand e^{x^2}(3x+5)^2 ?

The solution to expand e^{x^2}(3x+5)^2 is 9e^{x^2}x^2+30e^{x^2}x+25e^{x^2}

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expand e^{x^2}(3x+5)^2

expand

e^{x^{2}} (3 x + 5)^{2}

9 e^{x^{2}} x^{2} + 30 e^{x^{2}} x + 25 e^{x^{2}}

Solution steps

e^{x^{2}} (3 x + 5)^{2}

(3 x + 5)^{2} = 9 x^{2} + 30 x + 25

= e^{x^{2}} (9 x^{2} + 30 x + 25)

Distribute parentheses

= e^{x^{2}} \cdot 9 x^{2} + e^{x^{2}} \cdot 30 x + e^{x^{2}} \cdot 25

= 9 e^{x^{2}} x^{2} + 30 e^{x^{2}} x + 25 e^{x^{2}}

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

\frac{( - 2 a + 7 b ) ^{2}}{9}

- \frac{18 x}{( 3 x ^{2} + 1 ) ^{2}}

\frac{6 x - 5}{3 ( x - 1 ) ^{\frac{2}{3}} ( 2 x - 1 ) ^{\frac{1}{3}}}

(x^{3} + \frac{1}{2 x})^{15}

What is expand e^{x^2}(3x+5)^2 ?
The solution to expand e^{x^2}(3x+5)^2 is 9e^{x^2}x^2+30e^{x^2}x+25e^{x^2}