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

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

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

expand

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

x^{4} + 2 x^{2} - y^{2} + 1

Solution steps

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

Distribute parentheses

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

Simplify

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

= x^{4} + 2 x^{2} - y^{2} + 1

81 a^{2} - 36 b^{2}

sin (x - 1) (x + 1)^{- 1}

6 x^{2} - 54 y^{2}

x + 224 \cdot 3

sin^{2} (\frac{x}{2}) + cos^{2} (\frac{x}{2})

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