What is expand e^{2x^2+11x+16}(4x+11) ?

The solution to expand e^{2x^2+11x+16}(4x+11) is 4e^{2x^2+11x+16}x+11e^{2x^2+11x+16}

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expand e^{2x^2+11x+16}(4x+11)

expand

e^{2 x^{2} + 11 x + 16} (4 x + 11)

4 e^{2 x^{2} + 11 x + 16} x + 11 e^{2 x^{2} + 11 x + 16}

Solution steps

e^{2 x^{2} + 11 x + 16} (4 x + 11)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x^{2} + 11 x + 16}, b = 4 x, c = 11

= e^{2 x^{2} + 11 x + 16} \cdot 4 x + e^{2 x^{2} + 11 x + 16} \cdot 11

= 4 e^{2 x^{2} + 11 x + 16} x + 11 e^{2 x^{2} + 11 x + 16}

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What is expand e^{2x^2+11x+16}(4x+11) ?
The solution to expand e^{2x^2+11x+16}(4x+11) is 4e^{2x^2+11x+16}x+11e^{2x^2+11x+16}