What is expand (e^{2x})(x^2+9) ?

The solution to expand (e^{2x})(x^2+9) is e^{2x}x^2+9e^{2x}

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expand (e^{2x})(x^2+9)

expand

(e^{2 x}) (x^{2} + 9)

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

Solution steps

(e^{2 x}) (x^{2} + 9)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{2 x}), b = x^{2}, c = 9

= (e^{2 x}) x^{2} + (e^{2 x}) \cdot 9

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

Remove parentheses:

(a) = a

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

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