What is expand (sqrt(x))e^{x^2}(x^2+7)^{10} ?

The solution to expand (sqrt(x))e^{x^2}(x^2+7)^{10} is

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expand (sqrt(x))e^{x^2}(x^2+7)^{10}

expand

(x) e^{x^{2}} (x^{2} + 7)^{10}

e^{x^{2}} x^{20} x + 70 e^{x^{2}} x^{18} x + 2205 e^{x^{2}} x^{16} x + 41160 e^{x^{2}} x^{14} x + 504210 e^{x^{2}} x^{12} x + 4235364 e^{x^{2}} x^{10} x + 24706290 e^{x^{2}} x^{8} x + 98825160 e^{x^{2}} x^{6} x + 259416045 e^{x^{2}} x^{4} x + 403536070 e^{x^{2}} x^{2} x + 282475249 e^{x^{2}} x

Solution steps

(x) e^{x^{2}} (x^{2} + 7)^{10}

Remove parentheses:

(a) = a

= x e^{x^{2}} (x^{2} + 7)^{10}

(x^{2} + 7)^{10} = x^{20} + 70 x^{18} + 2205 x^{16} + 41160 x^{14} + 504210 x^{12} + 4235364 x^{10} + 24706290 x^{8} + 98825160 x^{6} + 259416045 x^{4} + 403536070 x^{2} + 282475249

= e^{x^{2}} x (x^{20} + 70 x^{18} + 2205 x^{16} + 41160 x^{14} + 504210 x^{12} + 4235364 x^{10} + 24706290 x^{8} + 98825160 x^{6} + 259416045 x^{4} + 403536070 x^{2} + 282475249)

= e^{x^{2}} x (x^{20} + 70 x^{18} + 2205 x^{16} + 41160 x^{14} + 504210 x^{12} + 4235364 x^{10} + 24706290 x^{8} + 98825160 x^{6} + 259416045 x^{4} + 403536070 x^{2} + 282475249)

Distribute parentheses

= x e^{x^{2}} x^{20} + x e^{x^{2}} \cdot 70 x^{18} + x e^{x^{2}} \cdot 2205 x^{16} + x e^{x^{2}} \cdot 41160 x^{14} + x e^{x^{2}} \cdot 504210 x^{12} + x e^{x^{2}} \cdot 4235364 x^{10} + x e^{x^{2}} \cdot 24706290 x^{8} + x e^{x^{2}} \cdot 98825160 x^{6} + x e^{x^{2}} \cdot 259416045 x^{4} + x e^{x^{2}} \cdot 403536070 x^{2} + x e^{x^{2}} \cdot 282475249

= e^{x^{2}} x^{20} x + 70 e^{x^{2}} x^{18} x + 2205 e^{x^{2}} x^{16} x + 41160 e^{x^{2}} x^{14} x + 504210 e^{x^{2}} x^{12} x + 4235364 e^{x^{2}} x^{10} x + 24706290 e^{x^{2}} x^{8} x + 98825160 e^{x^{2}} x^{6} x + 259416045 e^{x^{2}} x^{4} x + 403536070 e^{x^{2}} x^{2} x + 282475249 e^{x^{2}} x

\frac{5 ( 131 + 14521 )}{22}

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What is expand (sqrt(x))e^{x^2}(x^2+7)^{10} ?
The solution to expand (sqrt(x))e^{x^2}(x^2+7)^{10} is