Apply the Distributive Property to multiply (x−5)(x−1)

Question

.(1 point)
Responses

x2−5x+5
x squared minus 5 x plus 5

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

x2−6x+5
x squared minus 6 x plus 5

x2+5

Answer 1

To apply the Distributive Property to multiply \((x - 5)(x - 1)\), we need to distribute each term in the first binomial to each term in the second binomial.

1. Multiply \(x\) by both terms in the second binomial: \[ x \cdot x = x^2 \] \[ x \cdot (-1) = -x \]

2. Multiply \(-5\) by both terms in the second binomial: \[ -5 \cdot x = -5x \] \[ -5 \cdot (-1) = 5 \]

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

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

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