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

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

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simplify (sqrt(x)-y+1)(sqrt(x)+y-1)

simplify

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

\frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

\frac{d}{d x} ((x - 3) (x - 7)^{3}) + 9

(6 - x) ln (x + 5)

sin (x) (1 + cos^{2} (x))

(y - 1) sin (3 t) e^{c o s (3 t)}

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