What is (x+3)(x-3)(x^2+9)(x^4+81)-x^8+6561 ?

The solution to (x+3)(x-3)(x^2+9)(x^4+81)-x^8+6561 is 0

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simplify (x+3)(x-3)(x^2+9)(x^4+81)-x^8+6561

simplify

(x + 3) (x - 3) (x^{2} + 9) (x^{4} + 81) - x^{8} + 6561

0

Solution steps

(x + 3) (x - 3) (x^{2} + 9) (x^{4} + 81) - x^{8} + 6561

Expand

(x + 3) (x - 3) (x^{2} + 9) (x^{4} + 81) : x^{8} - 6561

= x^{8} - 6561 - x^{8} + 6561

Group like terms

= x^{8} - x^{8} - 6561 + 6561

Add similar elements:

x^{8} - x^{8} = 0

= - 6561 + 6561

6561 - 6561 = 0

= 0

x (2 x + 1)

(6^{3})^{3}

2 x^{2} + 4 x + 6

\frac{- 6 x ^{8} y ^{9}}{18 x ^{4} y ^{7}}

(- 2 s) (- 8 s^{3})

What is (x+3)(x-3)(x^2+9)(x^4+81)-x^8+6561 ?
The solution to (x+3)(x-3)(x^2+9)(x^4+81)-x^8+6561 is 0