Question

Multiply Linear Expressions Quick Check
5 of 55 of 5 Items
Question
Apply the Distributive Property to multiply (x−5)(x−1)
.(1 point)
Responses

x2+5
x squared plus 5

x2−5x+5
x squared minus 5 x plus 5

x2+6x+5
x squared plus 6 x plus 5

x2−6x+5

Answer 1

To multiply the expressions \((x - 5)(x - 1)\) using the Distributive Property, you need to distribute each term in the first expression by each term in the second expression.

1. Multiply \(x\) by \(x\):
\(x \cdot x = x^2\)

2. Multiply \(x\) by \(-1\):
\(x \cdot (-1) = -x\)

3. Multiply \(-5\) by \(x\):
\(-5 \cdot x = -5x\)

4. Multiply \(-5\) by \(-1\):
\(-5 \cdot (-1) = 5\)

Now, combine all these results:
\[
x^2 - x - 5x + 5
\]

Combine like terms:
\[
x^2 - 6x + 5
\]

So the final answer is:
\[
\boxed{x^2 - 6x + 5}
\]