What is expand (ab^2+a^2b+ab)(ab-ab^2) ?

The solution to expand (ab^2+a^2b+ab)(ab-ab^2) is -a^2b^4+a^3b^2-a^3b^3+a^2b^2

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expand (ab^2+a^2b+ab)(ab-ab^2)

expand

(a b^{2} + a^{2} b + ab) (ab - a b^{2})

- a^{2} b^{4} + a^{3} b^{2} - a^{3} b^{3} + a^{2} b^{2}

Solution steps

(a b^{2} + a^{2} b + ab) (ab - a b^{2})

Distribute parentheses

= a b^{2} ab + a b^{2} (- a b^{2}) + a^{2} bab + a^{2} b (- a b^{2}) + abab + ab (- a b^{2})

Simplify

a b^{2} ab + a b^{2} (- a b^{2}) + a^{2} bab + a^{2} b (- a b^{2}) + abab + ab (- a b^{2}) : - a^{2} b^{4} + a^{3} b^{2} - a^{3} b^{3} + a^{2} b^{2}

= - a^{2} b^{4} + a^{3} b^{2} - a^{3} b^{3} + a^{2} b^{2}

\frac{x ^{8}}{x ^{8}}

50 x^{6}

(2 + 3 x^{2} + x^{3}) (x^{2} - 1 + 4 x)

- 4 (9 k + 9)

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

What is expand (ab^2+a^2b+ab)(ab-ab^2) ?
The solution to expand (ab^2+a^2b+ab)(ab-ab^2) is -a^2b^4+a^3b^2-a^3b^3+a^2b^2