(c-d)^2 - (c+d)^2
Expanding both terms using the formula (a-b)(a+b) = a^2 - b^2, we get:
(c^2 - 2cd + d^2) - (c^2 + 2cd + d^2)
Now, simplify by distributing the negative sign:
c^2 - 2cd + d^2 - c^2 - 2cd - d^2
Combine like terms:
-4cd
Therefore, (c-d)^2 - (c+d)^2 simplifies to -4cd.
(c-d)^2 - (c+d)^2
Expanding both terms using the formula (a-b)(a+b) = a^2 - b^2, we get:
(c^2 - 2cd + d^2) - (c^2 + 2cd + d^2)
Now, simplify by distributing the negative sign:
c^2 - 2cd + d^2 - c^2 - 2cd - d^2
Combine like terms:
-4cd
Therefore, (c-d)^2 - (c+d)^2 simplifies to -4cd.