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

The solution to expand (a+b)(3a-b)(2a+7b) is 6a^3+25a^2b+12ab^2-7b^3

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

expand

(a + b) (3 a - b) (2 a + 7 b)

6 a^{3} + 25 a^{2} b + 12 a b^{2} - 7 b^{3}

Solution steps

(a + b) (3 a - b) (2 a + 7 b)

Expand

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

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

Distribute parentheses

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

Simplify

3 a^{2} \cdot 2 a + 3 a^{2} \cdot 7 b + 2 ab \cdot 2 a + 2 ab \cdot 7 b - b^{2} \cdot 2 a - b^{2} \cdot 7 b : 6 a^{3} + 25 a^{2} b + 12 a b^{2} - 7 b^{3}

= 6 a^{3} + 25 a^{2} b + 12 a b^{2} - 7 b^{3}

(3 x - 2) (- x^{2} - 10 x - 7)

(8 - n^{7}) (8 + n^{7})

3 \frac{3}{5}

- ln (e)

(x^{2} - 3 x + 4) - (x^{3} + 7 x - 2)

What is expand (a+b)(3a-b)(2a+7b) ?
The solution to expand (a+b)(3a-b)(2a+7b) is 6a^3+25a^2b+12ab^2-7b^3