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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

\frac{x + 2}{( x + 3 ) ^{\frac{5}{4}}}

e^{a (s - 1)} + e^{b (s - 1)}

\frac{4}{s ( x ^{2} - 4 x + 5 ) ( x ^{2} - 1 )}

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

\frac{10}{s ( s + 5 ) ( s + 2 )}

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