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

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

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expand (a+3b-2)^3

expand

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

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

Solution steps

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

Simplify

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

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

2 x \cdot 0

(6^{3})^{\frac{1}{2}}

\frac{3}{5} \cdot \frac{6}{7}

\frac{3}{5} \cdot \frac{6}{5}

(6^{3})^{\frac{1}{5}}

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