Question

Expand.
Your answer should be a polynomial in standard form.
(x-3)(x-4)

Answer 1

To expand the given expression, we will use the distributive property.

First, let's multiply the terms from the first set of parentheses with the terms from the second set of parentheses:
(x-3)(x-4) = x(x-4) - 3(x-4)

Next, let's simplify each term:
x(x-4) = x^2 - 4x
-3(x-4) = -3x + 12

Now, let's combine the simplified terms:
(x-3)(x-4) = x^2 - 4x - 3x + 12

Finally, let's combine like terms:
(x-3)(x-4) = x^2 - 7x + 12

Therefore, the expanded form of (x-3)(x-4) is x^2 - 7x + 12.