What is expand (-3x^3-8x^6)(10e^x+2) ?

The solution to expand (-3x^3-8x^6)(10e^x+2) is -30e^xx^3-6x^3-80e^xx^6-16x^6

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expand (-3x^3-8x^6)(10e^x+2)

expand

(- 3 x^{3} - 8 x^{6}) (10 e^{x} + 2)

- 30 e^{x} x^{3} - 6 x^{3} - 80 e^{x} x^{6} - 16 x^{6}

Solution steps

(- 3 x^{3} - 8 x^{6}) (10 e^{x} + 2)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = - 3 x^{3}, b = - 8 x^{6}, c = 10 e^{x}, d = 2

= (- 3 x^{3}) \cdot 10 e^{x} + (- 3 x^{3}) \cdot 2 + (- 8 x^{6}) \cdot 10 e^{x} + (- 8 x^{6}) \cdot 2

Apply minus-plus rules

+ (- a) = - a

= - 3 \cdot 10 e^{x} x^{3} - 3 \cdot 2 x^{3} - 8 \cdot 10 e^{x} x^{6} - 8 \cdot 2 x^{6}

Simplify

- 3 \cdot 10 e^{x} x^{3} - 3 \cdot 2 x^{3} - 8 \cdot 10 e^{x} x^{6} - 8 \cdot 2 x^{6} : - 30 e^{x} x^{3} - 6 x^{3} - 80 e^{x} x^{6} - 16 x^{6}

= - 30 e^{x} x^{3} - 6 x^{3} - 80 e^{x} x^{6} - 16 x^{6}

(- 10 + ln (\frac{m}{p})) 0.66

\frac{5 ( - 11 + 8 y )}{4}

a^{8} π (a + \frac{bπ}{2})

\frac{2 ( 3 - 2 3 )}{3}

l (- 7, 3) y M (4, - 2)

What is expand (-3x^3-8x^6)(10e^x+2) ?
The solution to expand (-3x^3-8x^6)(10e^x+2) is -30e^xx^3-6x^3-80e^xx^6-16x^6