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

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

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expand (x-2)(x+2)(x^2+4)(x^4+16)

expand

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

x^{8} - 256

Solution steps

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

Expand

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

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

Apply Difference of Two Squares

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

= (x^{4} - 16) (x^{4} + 16)

Apply Difference of Two Squares

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

= x^{8} - 256

2 x^{2} \cdot 4 x

52 k - 53 + 101 k

- 0.6 \cdot (- 0.62)

(1 + cos (2 x)) (1 - cos (2 x))

\frac{1}{4} + \frac{3}{10}

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