What is (x-y)(x+y)(x^2+y^2)(x^4+y^4)+y^8 ?

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

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simplify (x-y)(x+y)(x^2+y^2)(x^4+y^4)+y^8

simplify

(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4}) + y^{8}

x^{8}

Solution steps

(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4}) + y^{8}

Expand

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

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

Add similar elements:

- y^{8} + y^{8} = 0

= x^{8}

6 \cdot 21

(4 - 6 i) - (3 - 4 i)

9000 + 6000 - 400 \cdot 30

\frac{100}{2}

3 \cdot 2^{3} - (3 - 4)^{4} + 2 \cdot 9

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