What is expand (3x^2+9)^3 ?

The solution to expand (3x^2+9)^3 is 27x^6+243x^4+729x^2+729

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expand (3x^2+9)^3

expand

(3 x^{2} + 9)^{3}

27 x^{6} + 243 x^{4} + 729 x^{2} + 729

Solution steps

(3 x^{2} + 9)^{3}

Apply Perfect Cube Formula:

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

(3 x^{2} + 9)^{3} = (3 x^{2})^{3} + 3 (3 x^{2})^{2} \cdot 9 + 3 \cdot 3 x^{2} \cdot 9^{2} + 9^{3}

= (3 x^{2})^{3} + 3 (3 x^{2})^{2} \cdot 9 + 3 \cdot 3 x^{2} \cdot 9^{2} + 9^{3}

Simplify

(3 x^{2})^{3} + 3 (3 x^{2})^{2} \cdot 9 + 3 \cdot 3 x^{2} \cdot 9^{2} + 9^{3} : 27 x^{6} + 243 x^{4} + 729 x^{2} + 729

= 27 x^{6} + 243 x^{4} + 729 x^{2} + 729

\frac{( a ^{3} + b ^{3} )}{( a + b )}

5 x^{4} + 10 x^{3} - 75 x^{2}

2 cos (\frac{3 a}{2}) (cos^{2} (a) + sin^{2} (a))

3 cos (x) - 6 sin^{2} (t) (cos (t))

2 x \cdot 32

What is expand (3x^2+9)^3 ?
The solution to expand (3x^2+9)^3 is 27x^6+243x^4+729x^2+729