Question

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

Answer 1

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 $x^2-5x+4.$

Answer 2

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