Question

Find the difference of
(3c-d)^2

Answer 1

• 9c² - 6cd + d²

Step-by-step explanation:

To find the difference (3c - d)² you should recognize that it is the square of a difference of two terms.

The square of the difference of two terms is a special case that you should remember: it is equal to the square of the first, minus twice the product of the first and second, plus the square of the second:

• (x - y)² = x² - 2xy + y²

For the binomial (3c - d)² you have that:

• x = 3c

• y = d

Thus:

• (3c -d)² = (3c)² - 2(3c)(d) + d² = 9c² -6cd + d² ← answer