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

The solution to expand 3(x^2e^x-2(e^xx-e^x)) is 3e^xx^2-6e^xx+6e^x

Popular >

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

a = 3, b = x^{2} e^{x}, c = 2 (e^{x} x - e^{x})

= 3 x^{2} e^{x} - 3 \cdot 2 (e^{x} x - e^{x})

= 3 e^{x} x^{2} - 3 \cdot 2 (e^{x} x - e^{x})

Simplify

3 e^{x} x^{2} - 3 \cdot 2 (e^{x} x - e^{x}) : 3 e^{x} x^{2} - 6 e^{x} x + 6 e^{x}

= 3 e^{x} x^{2} - 6 e^{x} x + 6 e^{x}

\frac{1}{( a + 5 ) ^{2}}

\frac{x + 4}{( x - 5 ) ( x + 3 )}

p (1, - 3, 2) y Q (2, 1, - 1)

\frac{5 s + 13}{s ( s + 2 - 3 j )}

2 (9 n - 1) + 7 (n + 6 = - 60)

What is expand 3(x^2e^x-2(e^xx-e^x)) ?
The solution to expand 3(x^2e^x-2(e^xx-e^x)) is 3e^xx^2-6e^xx+6e^x