Answer:
Explanation:
To find the coefficient of the x-term in the simplified expression, we need to multiply the terms in the expression and combine like terms.
The given expression is:
(x – 3)(x – 1) * 6x^2 * x – 5
Step 1: Simplify the expression (x – 3)(x – 1):
(x – 3)(x – 1) can be expanded using the distributive property:
(x – 3)(x – 1) = x(x) + x(-1) + (-3)(x) + (-3)(-1)
= x^2 - x - 3x + 3
= x^2 - 4x + 3
Step 2: Multiply the simplified expression by 6x^2:
6x^2 * (x^2 - 4x + 3) = 6x^4 - 24x^3 + 18x^2
Step 3: Multiply the result by x:
x * (6x^4 - 24x^3 + 18x^2) = 6x^5 - 24x^4 + 18x^3
Step 4: Subtract 5 from the result:
6x^5 - 24x^4 + 18x^3 - 5
The coefficient of the x-term is the coefficient of x in the expression, which is 0 in this case. There is no x-term present in the simplified expression.
Therefore, the coefficient of the x-term in the simplified expression is 0.