What is expand (6a^2+2b^2c)^3 ?

The solution to expand (6a^2+2b^2c)^3 is 216a^6+216a^4b^2c+72a^2b^4c^2+8b^6c^3

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expand (6a^2+2b^2c)^3

expand

(6 a^{2} + 2 b^{2} c)^{3}

216 a^{6} + 216 a^{4} b^{2} c + 72 a^{2} b^{4} c^{2} + 8 b^{6} c^{3}

Solution steps

(6 a^{2} + 2 b^{2} c)^{3}

Apply Perfect Cube Formula:

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

(6 a^{2} + 2 b^{2} c)^{3} = (6 a^{2})^{3} + 3 (6 a^{2})^{2} \cdot 2 b^{2} c + 3 \cdot 6 a^{2} (2 b^{2} c)^{2} + (2 b^{2} c)^{3}

= (6 a^{2})^{3} + 3 (6 a^{2})^{2} \cdot 2 b^{2} c + 3 \cdot 6 a^{2} (2 b^{2} c)^{2} + (2 b^{2} c)^{3}

Simplify

(6 a^{2})^{3} + 3 (6 a^{2})^{2} \cdot 2 b^{2} c + 3 \cdot 6 a^{2} (2 b^{2} c)^{2} + (2 b^{2} c)^{3} : 216 a^{6} + 216 a^{4} b^{2} c + 72 a^{2} b^{4} c^{2} + 8 b^{6} c^{3}

= 216 a^{6} + 216 a^{4} b^{2} c + 72 a^{2} b^{4} c^{2} + 8 b^{6} c^{3}

\frac{- 40}{- 5}

(0.9)^{3}

\frac{5}{4 x} + \frac{3}{2 x}

- \frac{3}{8} (- 4 y + z)

(- x^{2} - 3 x + 10) (x^{2} + x + 1)

What is expand (6a^2+2b^2c)^3 ?
The solution to expand (6a^2+2b^2c)^3 is 216a^6+216a^4b^2c+72a^2b^4c^2+8b^6c^3