What is expand-y(-y^3+x+y^3ln(y^3-x)) ?

The solution to expand-y(-y^3+x+y^3ln(y^3-x)) is y^4-yx-y^4ln(y^3-x)

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expand-y(-y^3+x+y^3ln(y^3-x))

expand

- y (- y^{3} + x + y^{3} ln (y^{3} - x))

y^{4} - y x - y^{4} ln (y^{3} - x)

Solution steps

- y (- y^{3} + x + y^{3} ln (y^{3} - x))

Distribute parentheses

= (- y) (- y^{3}) + (- y) x + (- y) y^{3} ln (y^{3} - x)

Apply minus-plus rules

(- a) (- b) = ab, + (- a) = - a

= y^{3} y - y x - y^{3} y ln (y^{3} - x)

Simplify

y^{3} y - y x - y^{3} y ln (y^{3} - x) : y^{4} - y x - y^{4} ln (y^{3} - x)

= y^{4} - y x - y^{4} ln (y^{3} - x)

- \frac{5}{( x - x ) ^{3}}

\frac{2 ( a + h )}{( a + h ) - 4}

, (x + 4) 2

- \frac{x ^{2} ( - x + 3 ) ^{2}}{18}

\frac{1}{y ( x + y + 1 )}

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