What is expand (1-x)(1+x)(1+x^2)(1+x^4) ?

The solution to expand (1-x)(1+x)(1+x^2)(1+x^4) is 1-x^8

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expand (1-x)(1+x)(1+x^2)(1+x^4)

expand

(1 - x) (1 + x) (1 + x^{2}) (1 + x^{4})

1 - x^{8}

Solution steps

(1 - x) (1 + x) (1 + x^{2}) (1 + x^{4})

Expand

(1 - x) (1 + x) (1 + x^{2}) (1 + x^{4}) : (1 - x^{2}) (1 + x^{2}) (1 + x^{4})

= (1 - x^{2}) (1 + x^{2}) (1 + x^{4})

Apply Difference of Two Squares

(1 - x^{2}) (1 + x^{2}) : 1 - x^{4}

= (1 - x^{4}) (1 + x^{4})

Apply Difference of Two Squares

(1 - x^{4}) (1 + x^{4}) : 1 - x^{8}

= 1 - x^{8}

a^{3} - 12 a^{2} + 48 a - 64

- (a - b)^{3}

(2 x + y)^{7}

2 m^{3} - 250 n^{3}

(- x - 3)^{3}

What is expand (1-x)(1+x)(1+x^2)(1+x^4) ?
The solution to expand (1-x)(1+x)(1+x^2)(1+x^4) is 1-x^8