Hi there.
The answer is (x-2y-8)(x-2y-4)
Explanation:

Let (x-2y) = x

Then factor the quadratic polynomial by 2 brackets factoring.

Then convert x to (x-2y)

Answer:
infinitely many solutions
Step-by-step explanation:
2(x-3)=1/2(4x-12)
2x-6=2x-6
both sides are the same so its infinitely many solutions
Answer:
3x(x - 4)(x + 2)
Step-by-step explanation:
Given
3x³ - 6x² - 24x ← factor out common factor of 3x from each term
= 3x(x² - 2x - 8) ← factor the quadratic
Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.
The factors are - 4 and + 2, since
- 4 × 2 = - 8 and - 4 + 2 = - 2, thus
x² - 2x - 8 = (x - 4)(x + 2) and
3x³ - 6x² - 24x = 3x(x - 4)(x + 2)