What is expand (6a+c^4)^3 ?

The solution to expand (6a+c^4)^3 is 216a^3+108a^2c^4+18ac^8+c^{12}

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expand (6a+c^4)^3

expand

(6 a + c^{4})^{3}

216 a^{3} + 108 a^{2} c^{4} + 18 a c^{8} + c^{12}

Solution steps

(6 a + c^{4})^{3}

Apply Perfect Cube Formula:

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

(6 a + c^{4})^{3} = (6 a)^{3} + 3 (6 a)^{2} c^{4} + 3 \cdot 6 a (c^{4})^{2} + (c^{4})^{3}

= (6 a)^{3} + 3 (6 a)^{2} c^{4} + 3 \cdot 6 a (c^{4})^{2} + (c^{4})^{3}

Simplify

(6 a)^{3} + 3 (6 a)^{2} c^{4} + 3 \cdot 6 a (c^{4})^{2} + (c^{4})^{3} : 216 a^{3} + 108 a^{2} c^{4} + 18 a c^{8} + c^{12}

= 216 a^{3} + 108 a^{2} c^{4} + 18 a c^{8} + c^{12}

(2 - 9 i) + (- 10 + 8 i)

8 \frac{4}{5} - \frac{1}{2}

(6 x^{4} y^{5})^{5}

(2 x^{2} - 5 x + 3) (3 x^{2} - x - 1)

x + 6 x - x

What is expand (6a+c^4)^3 ?
The solution to expand (6a+c^4)^3 is 216a^3+108a^2c^4+18ac^8+c^{12}