What is expand e^x(-x^2+7) ?

The solution to expand e^x(-x^2+7) is -e^xx^2+7e^x

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expand e^x(-x^2+7)

expand

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

- e^{x} x^{2} + 7 e^{x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = - x^{2}, c = 7

= e^{x} (- x^{2}) + e^{x} \cdot 7

Apply minus-plus rules

+ (- a) = - a

= - e^{x} x^{2} + 7 e^{x}

(x^{2} - x y) \frac{d y}{d x}

\frac{7 ( 373 - 7 )}{18}

x (x + y) d y - y^{2}

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

(e t - e - t)^{2}