What is (r+1)^2(r-1)(r-sqrt(2))^2(r+sqrt(2))^2 ?

The solution to (r+1)^2(r-1)(r-sqrt(2))^2(r+sqrt(2))^2 is (r+1)^2(r-1)(r^4-4r^2+4)

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simplify (r+1)^2(r-1)(r-sqrt(2))^2(r+sqrt(2))^2

simplify

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

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

Solution steps

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

Expand

(r - 2)^{2} : r^{2} - 22 r + 2

= (r + 1)^{2} (r - 1) (r^{2} - 22 r + 2) (r + 2)^{2}

Expand

(r + 2)^{2} : r^{2} + 22 r + 2

= (r + 1)^{2} (r - 1) (r^{2} - 22 r + 2) (r^{2} + 22 r + 2)

Expand

(r^{2} - 22 r + 2) (r^{2} + 22 r + 2) : r^{4} - 4 r^{2} + 4

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

(x)^{6}

\frac{d}{d x} ((x - 2) y)

- 3 x^{3} (16 x^{4} y^{2})

What is (r+1)^2(r-1)(r-sqrt(2))^2(r+sqrt(2))^2 ?
The solution to (r+1)^2(r-1)(r-sqrt(2))^2(r+sqrt(2))^2 is (r+1)^2(r-1)(r^4-4r^2+4)