What is expand x^5(ex^3-sin(x^2)) ?

The solution to expand x^5(ex^3-sin(x^2)) is ex^8-x^5sin(x^2)

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expand x^5(ex^3-sin(x^2))

expand

x^{5} (e x^{3} - sin (x^{2}))

e x^{8} - x^{5} sin (x^{2})

Solution steps

x^{5} (e x^{3} - sin (x^{2}))

Apply the distributive law:

a (b - c) = ab - a c

a = x^{5}, b = e x^{3}, c = sin (x^{2})

= x^{5} e x^{3} - x^{5} sin (x^{2})

= e x^{5} x^{3} - x^{5} sin (x^{2})

e x^{5} x^{3} = e x^{8}

= e x^{8} - x^{5} sin (x^{2})

- \frac{6}{( x + 2 ) ^{2}}

\frac{1}{( j w ) ( a + j w )}

[(- 2)^{3}]^{2} \times [(2) (3)]^{2}

\frac{d}{d x} (1 - x) + c \cdot x (x - 1)

(\frac{3 m}{4} - \frac{1}{6}) (\frac{m}{4} - \frac{5}{6})

What is expand x^5(ex^3-sin(x^2)) ?
The solution to expand x^5(ex^3-sin(x^2)) is ex^8-x^5sin(x^2)