Solve (x y 1)(x y-1)(x-y 1)(x-y-1)

Evaluate

(x y \times 1) (x y - 1) (x - y \times 1) (x - y - 1)

Remove the parentheses

x y \times 1 \times (x y - 1) (x - y \times 1) (x - y - 1)

Any expression multiplied by 1 remains the same

x y \times 1 \times (x y - 1) (x - y) (x - y - 1)

Any expression multiplied by 1 remains the same

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

Multiply the terms

More Steps

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

Multiply the terms

More Steps

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

Apply the distributive property

x^{3} y^{2} x - x^{3} y^{2} \times y - x^{3} y^{2} \times 1 - x^{2} y^{3} x - (- x^{2} y^{3} \times y) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{2} \times y - x^{3} y^{2} \times 1 - x^{2} y^{3} x - (- x^{2} y^{3} \times y) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} \times 1 - x^{2} y^{3} x - (- x^{2} y^{3} \times y) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Any expression multiplied by 1 remains the same

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{2} y^{3} x - (- x^{2} y^{3} \times y) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{3} \times y) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3} \times 1) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Any expression multiplied by 1 remains the same

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{2} y x - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{3} y - (- x^{2} y \times y) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{3} y - (- x^{2} y^{2}) - (- x^{2} y \times 1) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Any expression multiplied by 1 remains the same

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{3} y - (- x^{2} y^{2}) - (- x^{2} y) + x y^{2} x - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{3} y - (- x^{2} y^{2}) - (- x^{2} y) + x^{2} y^{2} - x y^{2} \times y - x y^{2} \times 1

Multiply the terms

More Steps

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} - (- x^{2} y^{4}) - (- x^{2} y^{3}) - x^{3} y - (- x^{2} y^{2}) - (- x^{2} y) + x^{2} y^{2} - x y^{3} - x y^{2} \times 1

Any expression multiplied by 1 remains the same

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

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{4} y^{2} - x^{3} y^{3} - x^{3} y^{2} - x^{3} y^{3} + x^{2} y^{4} + x^{2} y^{3} - x^{3} y + x^{2} y^{2} + x^{2} y + x^{2} y^{2} - x y^{3} - x y^{2}

Subtract the terms

More Steps

x^{4} y^{2} - 2 x^{3} y^{3} - x^{3} y^{2} + x^{2} y^{4} + x^{2} y^{3} - x^{3} y + x^{2} y^{2} + x^{2} y + x^{2} y^{2} - x y^{3} - x y^{2}

Solution

More Steps

x^{4} y^{2} - 2 x^{3} y^{3} - x^{3} y^{2} + x^{2} y^{4} + x^{2} y^{3} - x^{3} y + 2 x^{2} y^{2} + x^{2} y - x y^{3} - x y^{2}

Simplify the expression