What is expand (3e^x-2x)(x^3-1) ?

The solution to expand (3e^x-2x)(x^3-1) is 3e^xx^3-3e^x-2x^4+2x

Popular >

expand (3e^x-2x)(x^3-1)

expand

(3 e^{x} - 2 x) (x^{3} - 1)

3 e^{x} x^{3} - 3 e^{x} - 2 x^{4} + 2 x

Solution steps

(3 e^{x} - 2 x) (x^{3} - 1)

Apply FOIL method:

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

a = 3 e^{x}, b = - 2 x, c = x^{3}, d = - 1

= 3 e^{x} x^{3} + 3 e^{x} (- 1) + (- 2 x) x^{3} + (- 2 x) (- 1)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 3 e^{x} x^{3} - 3 \cdot 1 \cdot e^{x} - 2 x^{3} x + 2 \cdot 1 \cdot x

Simplify

3 e^{x} x^{3} - 3 \cdot 1 \cdot e^{x} - 2 x^{3} x + 2 \cdot 1 \cdot x : 3 e^{x} x^{3} - 3 e^{x} - 2 x^{4} + 2 x

= 3 e^{x} x^{3} - 3 e^{x} - 2 x^{4} + 2 x

- \frac{10 ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

\frac{x}{1400} (x - 0.028 = 15)

\frac{d x}{( x + 1 ) ( x ^{2} + 1 )}

r^{2} (1 + 3 cos (2) (θ))

\frac{( x + y )}{4 ( 1 - x ) ( 1 - x - y )}

What is expand (3e^x-2x)(x^3-1) ?
The solution to expand (3e^x-2x)(x^3-1) is 3e^xx^3-3e^x-2x^4+2x