Question

If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?

Answer 1

`\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}`
`\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}`

Explanation:

Given:

• p(x) = 2x2 - 1
• q(x) = 3(x - 1)

To find:

• (p - q)(x)

We know:

• (p - q)(x) = p(x) - q(x)

Substitute

• (2x^2 - 1) - 3(x - 1)

`\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}`