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

The solution to (x+3)(x^2-3x+9)+(x^2+3x+9)(x-3) is 2x^3

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simplify (x+3)(x^2-3x+9)+(x^2+3x+9)(x-3)

simplify

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

2 x^{3}

Solution steps

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

Expand

(x + 3) (x^{2} - 3 x + 9) : x^{3} + 27

= x^{3} + 27 + (x^{2} + 3 x + 9) (x - 3)

Expand

(x^{2} + 3 x + 9) (x - 3) : x^{3} - 27

= x^{3} + 27 + x^{3} - 27

Group like terms

= x^{3} + x^{3} + 27 - 27

Add similar elements:

x^{3} + x^{3} = 2 x^{3}

= 2 x^{3} + 27 - 27

Subtract the numbers:

27 - 27 = 0

= 2 x^{3}

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5 \frac{4}{5} b + 6 \frac{3}{4} - (2 \frac{11}{15} + 7 \frac{7}{12})

2 cos^{2} (2 x) + 2 sin^{2} (2 x)

\frac{1 + \frac{1}{x}}{2 - \frac{1}{x}}

sin (θ) cot (θ)

What is (x+3)(x^2-3x+9)+(x^2+3x+9)(x-3) ?
The solution to (x+3)(x^2-3x+9)+(x^2+3x+9)(x-3) is 2x^3