What is expand f(x)(ln(x)-x^2)^3 ?

The solution to expand f(x)(ln(x)-x^2)^3 is fxln^3(x)-3fx^3ln^2(x)+3fx^5ln(x)-fx^7

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expand f(x)(ln(x)-x^2)^3

expand

f (x) (ln (x) - x^{2})^{3}

f x ln^{3} (x) - 3 f x^{3} ln^{2} (x) + 3 f x^{5} ln (x) - f x^{7}

Solution steps

f (x) (ln (x) - x^{2})^{3}

Remove parentheses:

(a) = a

= f x (ln (x) - x^{2})^{3}

(ln (x) - x^{2})^{3} = ln^{3} (x) - 3 x^{2} ln^{2} (x) + 3 x^{4} ln (x) - x^{6}

= f x (- x^{6} + 3 x^{4} ln (x) - 3 x^{2} ln^{2} (x) + ln^{3} (x))

Distribute parentheses

= f x ln^{3} (x) + f x (- 3 x^{2} ln^{2} (x)) + f x \cdot 3 x^{4} ln (x) + f x (- x^{6})

Apply minus-plus rules

+ (- a) = - a

= f x ln^{3} (x) - 3 f x^{2} x ln^{2} (x) + 3 f x^{4} x ln (x) - f x^{6} x

Simplify

f x ln^{3} (x) - 3 f x^{2} x ln^{2} (x) + 3 f x^{4} x ln (x) - f x^{6} x : f x ln^{3} (x) - 3 f x^{3} ln^{2} (x) + 3 f x^{5} ln (x) - f x^{7}

= f x ln^{3} (x) - 3 f x^{3} ln^{2} (x) + 3 f x^{5} ln (x) - f x^{7}

(\frac{1}{x} \circ 7 - x) (x)

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

- 2 cos (2 (x - \frac{π}{4})) - 3

r^{5^{^{'}}} (3 r^{5} + 4)

50 (47 - 6 ln (50))

What is expand f(x)(ln(x)-x^2)^3 ?
The solution to expand f(x)(ln(x)-x^2)^3 is fxln^3(x)-3fx^3ln^2(x)+3fx^5ln(x)-fx^7