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

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

Step 1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = a - b$ and $b = c - d$ .

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

Step 2

Simplify.

Apply the distributive property.

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

Multiply $- - d$ .

Multiply $- 1$ by $- 1$ .

$(a - b + c - d) (a - b - c + 1 d)$

Multiply $d$ by $1$ .

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

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

Related Questions

Support LCMGCF.com by disabling your adblocker.