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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

= xx + x y + x (- 1) + y x + yy + y (- 1) + 1 \cdot x + 1 \cdot y + 1 \cdot (- 1)

Simplify

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

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

3 x^{2} \cdot 3

\frac{36}{( - 6 )}

\frac{y ^{2} - 25}{2 y ^{2} - 8 y - 10}

87 \cdot 614

3 x^{2} (- 10 x^{2} + 10)

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