What is expand (a^2+2ab-2b^2)(3a-7b) ?

The solution to expand (a^2+2ab-2b^2)(3a-7b) is 3a^3-a^2b-20ab^2+14b^3

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expand (a^2+2ab-2b^2)(3a-7b)

expand

(a^{2} + 2 ab - 2 b^{2}) (3 a - 7 b)

3 a^{3} - a^{2} b - 20 a b^{2} + 14 b^{3}

Solution steps

(a^{2} + 2 ab - 2 b^{2}) (3 a - 7 b)

Distribute parentheses

= a^{2} \cdot 3 a + a^{2} (- 7 b) + 2 ab \cdot 3 a + 2 ab (- 7 b) - 2 b^{2} \cdot 3 a - 2 b^{2} (- 7 b)

Simplify

a^{2} \cdot 3 a + a^{2} (- 7 b) + 2 ab \cdot 3 a + 2 ab (- 7 b) - 2 b^{2} \cdot 3 a - 2 b^{2} (- 7 b) : 3 a^{3} - a^{2} b - 20 a b^{2} + 14 b^{3}

= 3 a^{3} - a^{2} b - 20 a b^{2} + 14 b^{3}

- 8 x^{2} + 9 x + (- 6) x^{2} + 10 x

(1 2^{3} \cdot 12)^{10}

4 (2 x + 7 y)

7^{- 12}

2.5 \cdot 1 0^{3}

What is expand (a^2+2ab-2b^2)(3a-7b) ?
The solution to expand (a^2+2ab-2b^2)(3a-7b) is 3a^3-a^2b-20ab^2+14b^3