Question

9 find the product.
(x - y)(x + y)
k. $x^2 - 2xy + y^2$
l. $x^2 + y^2$
m. $x^2 + 2xy + y^2$
n. $x^2 - y^2$

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(x - y)(x + y) = x \cdot x + x \cdot y - y \cdot x - y \cdot y$

Step2: Simplify each term

Simplify the products:
$x \cdot x = x^2$, $x \cdot y = xy$, $-y \cdot x = -xy$, $-y \cdot y = -y^2$

Step3: Combine like terms

Combine the middle terms ($xy - xy = 0$):
$x^2 + xy - xy - y^2 = x^2 - y^2$

Answer:

N. $x^2 - y^2$