What is expand (y^2+12)^3 ?

The solution to expand (y^2+12)^3 is y^6+36y^4+432y^2+1728

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expand (y^2+12)^3

expand

(y^{2} + 12)^{3}

y^{6} + 36 y^{4} + 432 y^{2} + 1728

Solution steps

(y^{2} + 12)^{3}

Apply Perfect Cube Formula:

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

(y^{2} + 12)^{3} = (y^{2})^{3} + 3 (y^{2})^{2} \cdot 12 + 3 y^{2} \cdot 1 2^{2} + 1 2^{3}

= (y^{2})^{3} + 3 (y^{2})^{2} \cdot 12 + 3 y^{2} \cdot 1 2^{2} + 1 2^{3}

Simplify

(y^{2})^{3} + 3 (y^{2})^{2} \cdot 12 + 3 y^{2} \cdot 1 2^{2} + 1 2^{3} : y^{6} + 36 y^{4} + 432 y^{2} + 1728

= y^{6} + 36 y^{4} + 432 y^{2} + 1728

6 - 128

320 - 45

3 (4 + 311)

\frac{10}{2 3 - 2}

\frac{2 x ^{2} + 9 x - 5}{x + 5}

What is expand (y^2+12)^3 ?
The solution to expand (y^2+12)^3 is y^6+36y^4+432y^2+1728