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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

= a^{2} a + a^{2} b + a^{2} (- 2) - aa - ab - a (- 2) + ba + bb + b (- 2)

Simplify

a^{2} a + a^{2} b + a^{2} (- 2) - aa - ab - a (- 2) + ba + bb + b (- 2) : a^{3} + a^{2} b - 3 a^{2} + 2 a + b^{2} - 2 b

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

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

7 (x - 2 y)

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

(4 x + 6 y)^{3}

\frac{2 x 1 0 ^{21}}{1 0 ^{- 2}}

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