What is expand-4ab(3a+2b)(2a-2b+1) ?

The solution to expand-4ab(3a+2b)(2a-2b+1) is -24a^3b+8a^2b^2-12a^2b+16ab^3-8ab^2

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expand-4ab(3a+2b)(2a-2b+1)

expand

- 4 ab (3 a + 2 b) (2 a - 2 b + 1)

- 24 a^{3} b + 8 a^{2} b^{2} - 12 a^{2} b + 16 a b^{3} - 8 a b^{2}

Solution steps

- 4 ab (3 a + 2 b) (2 a - 2 b + 1)

Expand

- 4 ab (3 a + 2 b) : - 12 a^{2} b - 8 a b^{2}

= (- 12 a^{2} b - 8 a b^{2}) (2 a - 2 b + 1)

Distribute parentheses

= - 12 a^{2} b \cdot 2 a - 12 a^{2} b (- 2 b) - 12 a^{2} b \cdot 1 - 8 a b^{2} \cdot 2 a - 8 a b^{2} (- 2 b) - 8 a b^{2} \cdot 1

Simplify

- 12 a^{2} b \cdot 2 a - 12 a^{2} b (- 2 b) - 12 a^{2} b \cdot 1 - 8 a b^{2} \cdot 2 a - 8 a b^{2} (- 2 b) - 8 a b^{2} \cdot 1 : - 24 a^{3} b + 8 a^{2} b^{2} - 12 a^{2} b + 16 a b^{3} - 8 a b^{2}

= - 24 a^{3} b + 8 a^{2} b^{2} - 12 a^{2} b + 16 a b^{3} - 8 a b^{2}

(- 8) + (- 1)

(- 8) + (- 2)

a (x + 1) - b (x + 1) + c (x + 1)

g^{- 1} (1)

3 x^{2} + 6 x + 6

What is expand-4ab(3a+2b)(2a-2b+1) ?
The solution to expand-4ab(3a+2b)(2a-2b+1) is -24a^3b+8a^2b^2-12a^2b+16ab^3-8ab^2