Solve (x-1)^2 (y-2)^2 -(x 1)^2 -(y^2)^2

Evaluate

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

Multiply the exponents

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

Any expression multiplied by 1 remains the same

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

Multiply the numbers

(x - 1)^{2} (y - 2)^{2} - x^{2} - y^{4}

Expand the expression

More Steps

x^{2} y^{2} - 4 x^{2} y + 4 x^{2} - 2 x y^{2} + 8 x y - 8 x + y^{2} - 4 y + 4 - x^{2} - y^{4}

Solution

More Steps

x^{2} y^{2} - 4 x^{2} y + 3 x^{2} - 2 x y^{2} + 8 x y - 8 x + y^{2} - 4 y + 4 - y^{4}

Simplify the expression