Question

The product of 2 more than 3 times a number and 6 less than 4 times the number (z)

Answer 1

`12z^(2) -10z -12`

Explanation:

Let the number be z

2 more than 3 times z ==> 3z + 2

6 less than 4 times z ==> 4z - 6

Product of the above two is

`(3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^(2) -18z + 8z - 12\\= 12z^(2) -10z -12`