What is factor (a-b)^2-(c-d)^2 ?

The solution to factor (a-b)^2-(c-d)^2 is (a-b+c-d)(a-b-c+d)

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factor (a-b)^2-(c-d)^2

factor

(a - b)^{2} - (c - d)^{2}

(a - b + c - d) (a - b - c + d)

Solution steps

(a - b)^{2} - (c - d)^{2}

Apply Difference of Two Squares Formula:

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

(a - b)^{2} - (c - d)^{2} = ((a - b) + (c - d)) ((a - b) - (c - d))

= ((a - b) + (c - d)) ((a - b) - (c - d))

Simplify

((a - b) + (c - d)) ((a - b) - (c - d)) : (a - b + c - d) (a - b - c + d)

= (a - b + c - d) (a - b - c + d)

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

2 y^{3} - 12 y^{2} + 3 y - 18

\frac{70}{8}

- 3 84 x^{3}

(x - 3) (x + 2) (x - 4)

What is factor (a-b)^2-(c-d)^2 ?
The solution to factor (a-b)^2-(c-d)^2 is (a-b+c-d)(a-b-c+d)