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

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

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 $b = c + d$ .

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

Apply the distributive property.

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

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

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