Question

expressions and equations
question 4/14
if ( x = 3 ), then what is the value of ( (2x - 3)(5x - 2) - (2x - 3)5x - 2 )?
select one answer
a (-8)
b (-3)
c (0)

Explanation:

Step1: Substitute $x=3$ into expression

$(2(3)-3)(5(3)-2)-(2(3)-3)5(3)-2$

Step2: Simplify each parenthetical term

$(6-3)(15-2)-(6-3)15-2 = (3)(13)-(3)15-2$

Step3: Calculate multiplications first

$39 - 45 - 2$

Step4: Compute final subtraction

$39 - 45 = -6; -6 - 2 = -8$

Answer:

A. -8