If p times x is equal to x squared minus 1 and q times x is equal to 5 times open paren x minus 1 close paren , which expression is equivalent to open paren p minus q close paren times x ?
Answer
A
open paren 5 x minus 1 close paren minus open paren x squared minus 1 close paren
B
open paren x squared minus 1 close paren minus 5 times open paren x minus 1 close paren
C
open paren x squared minus 1 close paren minus 5 x minus 1
D
5 times open paren x minus 1 close paren minus x squared minus 1
Explanation
Distribute the multiplication over the subtraction: (p − q)x = px − qx. Substitute the given expressions, px = x² − 1 and qx = 5(x − 1), to get (x² − 1) − 5(x − 1), which is choice D.
AI-written and checked against the verified answer.