Question

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

Answer 1

p(x) - q(x) = x²-1 -5(x-1)
= x²-1-5x+5
=x²-5x+4

Answer 2

Answer: The required expression is
`x^2-5x+4.`

Step-by-step explanation: We are given that

`p(x)=x^2-1,\\\\q(x)=5(x-1).`

We are to find the expression that is equivalent to (p-q)(x).

We know that for any two functions f(x) and g(x), we have

`(f-g)(x)=f(x)-g(x).`

Therefore we get

`(p-q)(x)\\\\=p(x)-q(x)\\\\=(x^2-1)-(5(x-1))\\\\=x^2-1-5x+5\\\\=x^2-5x+4.`

Thus, the required expression is
`x^2-5x+4.`