What is expand a*b+(a-1)*b^2+(a-2)*b^3 ?

The solution to expand a*b+(a-1)*b^2+(a-2)*b^3 is ab+ab^2-b^2+ab^3-2b^3

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expand ab+(a-1)b^2+(a-2)*b^3

expand

a \cdot b + (a - 1) \cdot b^{2} + (a - 2) \cdot b^{3}

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

Solution steps

ab + (a - 1) b^{2} + (a - 2) b^{3}

= ab + b^{2} (a - 1) + b^{3} (a - 2)

Expand

b^{2} (a - 1) : a b^{2} - b^{2}

= ab + a b^{2} - b^{2} + b^{3} (a - 2)

Expand

b^{3} (a - 2) : a b^{3} - 2 b^{3}

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

3 m^{3} b^{2} - 9 b^{3} m^{4}

84 x^{3} + 404 x^{2} + 597 x + 280

1 - a^{6}

\frac{1}{( 2 ) \cdot ( sin ( x ) - cos ( x ) )}

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

What is expand a*b+(a-1)*b^2+(a-2)*b^3 ?
The solution to expand a*b+(a-1)*b^2+(a-2)*b^3 is ab+ab^2-b^2+ab^3-2b^3