What is expand (x^2-x)^2ln(5x) ?

The solution to expand (x^2-x)^2ln(5x) is x^4ln(5x)-2x^3ln(5x)+x^2ln(5x)

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expand (x^2-x)^2ln(5x)

expand

(x^{2} - x)^{2} ln (5 x)

x^{4} ln (5 x) - 2 x^{3} ln (5 x) + x^{2} ln (5 x)

Solution steps

(x^{2} - x)^{2} ln (5 x)

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

= ln (5 x) (x^{4} - 2 x^{3} + x^{2})

= ln (5 x) (x^{4} - 2 x^{3} + x^{2})

Distribute parentheses

= ln (5 x) x^{4} + ln (5 x) (- 2 x^{3}) + ln (5 x) x^{2}

Apply minus-plus rules

+ (- a) = - a

= x^{4} ln (5 x) - 2 x^{3} ln (5 x) + x^{2} ln (5 x)

π (- 2.88 x^{3} + 10.46 x^{2} - 7.26 x)

\frac{x ^{3}}{( x + 2 ) ^{2}}

(3 x^{4} + y^{4}) d x + N d y

\frac{( 5 x ^{2} - 15 )}{10 x}

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

What is expand (x^2-x)^2ln(5x) ?
The solution to expand (x^2-x)^2ln(5x) is x^4ln(5x)-2x^3ln(5x)+x^2ln(5x)