Question

(x-y)(x+y)=?

Answer 1

[AI-generated answer — Explain Bot]

To multiply the expression (x-y)(x+y), we can use the distributive property.

First, let's break down the expression into two terms: (x-y) and (x+y).

Now, we'll multiply each term of the first expression (x-y) with each term of the second expression (x+y).

For the first term, x in (x-y), multiply it with each term of the second expression (x+y):
(x)(x) + (x)(y)

For the second term, -y in (x-y), multiply it with each term of the second expression (x+y):
(-y)(x) + (-y)(y)

Now we have four terms:
x*x + x*y + (-y)*x + (-y)*y

Let's simplify each term:
x^2 + xy - xy - y^2

Notice that the xy term and the -xy term cancel each other out (xy - xy = 0).

Simplifying further, we are left with:
x^2 - y^2

So, the final answer is x^2 - y^2.