What is (x+2)(x-2)(x^2+4)(x^4+16)+256 ?

The solution to (x+2)(x-2)(x^2+4)(x^4+16)+256 is x^8

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simplify (x+2)(x-2)(x^2+4)(x^4+16)+256

simplify

(x + 2) (x - 2) (x^{2} + 4) (x^{4} + 16) + 256

x^{8}

Solution steps

(x + 2) (x - 2) (x^{2} + 4) (x^{4} + 16) + 256

Expand

(x + 2) (x - 2) (x^{2} + 4) (x^{4} + 16) : x^{8} - 256

= x^{8} - 256 + 256

Add the numbers:

- 256 + 256 = 0

= x^{8}

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

(5 + 2 i) (10 i - 5)

(\frac{c ^{- 4}}{81 d ^{8}})^{\frac{3}{4}}

1020 n^{4}

What is (x+2)(x-2)(x^2+4)(x^4+16)+256 ?
The solution to (x+2)(x-2)(x^2+4)(x^4+16)+256 is x^8