What is expand (x+1)(x-1)(y-1)(y+1) ?

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

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expand (x+1)(x-1)(y-1)(y+1)

expand

(x + 1) (x - 1) (y - 1) (y + 1)

x^{2} y^{2} - x^{2} - y^{2} + 1

Solution steps

(x + 1) (x - 1) (y - 1) (y + 1)

Expand

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

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

Apply Difference of Two Squares

(y - 1) (y + 1) : y^{2} - 1

= (x^{2} - 1) (y^{2} - 1)

Apply FOIL method

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

= x^{2} y^{2} - x^{2} - y^{2} + 1

- (x - 1)^{3} (x + 1)^{2}

343 p 12 + q^{2}

cos (- 4) x

(x + 2)^{- 2}

(x - 1) (x - 5) (x - 15) 50

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