What is expand (e^x+1)(6x^2-4x) ?

The solution to expand (e^x+1)(6x^2-4x) is 6e^xx^2-4e^xx+6x^2-4x

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expand (e^x+1)(6x^2-4x)

expand

(e^{x} + 1) (6 x^{2} - 4 x)

6 e^{x} x^{2} - 4 e^{x} x + 6 x^{2} - 4 x

Solution steps

(e^{x} + 1) (6 x^{2} - 4 x)

Apply FOIL method:

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

a = e^{x}, b = 1, c = 6 x^{2}, d = - 4 x

= e^{x} \cdot 6 x^{2} + e^{x} (- 4 x) + 1 \cdot 6 x^{2} + 1 \cdot (- 4 x)

Apply minus-plus rules

+ (- a) = - a

= 6 e^{x} x^{2} - 4 e^{x} x + 1 \cdot 6 x^{2} - 1 \cdot 4 x

Simplify

6 e^{x} x^{2} - 4 e^{x} x + 1 \cdot 6 x^{2} - 1 \cdot 4 x : 6 e^{x} x^{2} - 4 e^{x} x + 6 x^{2} - 4 x

= 6 e^{x} x^{2} - 4 e^{x} x + 6 x^{2} - 4 x

\frac{x}{( 3 x - 2 ) ( 1 + 2 x )}

\frac{x ^{2} + 14 x + 1}{( x + 1 ) ^{2}}

(x + y = 7,) (x^{2} - y^{2} = 21)

\frac{2}{s ( s + 2 ) ( s + 4 )}

\frac{3 ( 4 s + 19 )}{( s + 3 ) ( s + 4 )}

What is expand (e^x+1)(6x^2-4x) ?
The solution to expand (e^x+1)(6x^2-4x) is 6e^xx^2-4e^xx+6x^2-4x