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

The solution to expand (3a+2b-1)^3 is 27a^3+54a^2b-27a^2+36ab^2-36ab+9a+8b^3-12b^2+6b-1

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

expand

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

27 a^{3} + 54 a^{2} b - 27 a^{2} + 36 a b^{2} - 36 ab + 9 a + 8 b^{3} - 12 b^{2} + 6 b - 1

Solution steps

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

Simplify

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

= (3 a + 2 b - 1) (3 a + 2 b - 1) (3 a + 2 b - 1)

Expand

(3 a + 2 b - 1) (3 a + 2 b - 1) : 9 a^{2} + 12 ab - 6 a + 4 b^{2} - 4 b + 1

= (9 a^{2} + 12 ab - 6 a + 4 b^{2} - 4 b + 1) (3 a + 2 b - 1)

Distribute parentheses

= 9 a^{2} \cdot 3 a + 9 a^{2} \cdot 2 b + 9 a^{2} (- 1) + 12 ab \cdot 3 a + 12 ab \cdot 2 b + 12 ab (- 1) - 6 a \cdot 3 a - 6 a \cdot 2 b - 6 a (- 1) + 4 b^{2} \cdot 3 a + 4 b^{2} \cdot 2 b + 4 b^{2} (- 1) - 4 b \cdot 3 a - 4 b \cdot 2 b - 4 b (- 1) + 1 \cdot 3 a + 1 \cdot 2 b + 1 \cdot (- 1)

Simplify

9 a^{2} \cdot 3 a + 9 a^{2} \cdot 2 b + 9 a^{2} (- 1) + 12 ab \cdot 3 a + 12 ab \cdot 2 b + 12 ab (- 1) - 6 a \cdot 3 a - 6 a \cdot 2 b - 6 a (- 1) + 4 b^{2} \cdot 3 a + 4 b^{2} \cdot 2 b + 4 b^{2} (- 1) - 4 b \cdot 3 a - 4 b \cdot 2 b - 4 b (- 1) + 1 \cdot 3 a + 1 \cdot 2 b + 1 \cdot (- 1) : 27 a^{3} + 54 a^{2} b - 27 a^{2} + 36 a b^{2} - 36 ab + 9 a + 8 b^{3} - 12 b^{2} + 6 b - 1

= 27 a^{3} + 54 a^{2} b - 27 a^{2} + 36 a b^{2} - 36 ab + 9 a + 8 b^{3} - 12 b^{2} + 6 b - 1

\frac{1}{2 ( 6 e - 3 f - \frac{3}{4} )}

(x^{4} - x^{3} + x^{2} - x + 1) + (x + x^{4} - 1 - x^{2})

6 x^{2} - 4 a

(1 + w)^{3}

2 x^{2} y - 3 x y^{2}

What is expand (3a+2b-1)^3 ?
The solution to expand (3a+2b-1)^3 is 27a^3+54a^2b-27a^2+36ab^2-36ab+9a+8b^3-12b^2+6b-1