Final answer:
To simplify the expression 4c(7−6c)⋅ 28−24c² / 28c−24c², we can factor out a common factor of 4c from the numerator and denominator, resulting in 28-24c² / 7-6c.
Step-by-step explanation:
To simplify the expression, we can first distribute 4c to (7-6c) giving us 28c - 24c^2. We then divide this expression by 28c - 24c^2. Now, we can simplify the expression by factoring out a common factor of 4c from both the numerator and denominator, resulting in:
4c(7-6c)⋅ 28-24c² / 4c(7-6c)⋅ (7-6c)
Cancelling out the common factors, the expression simplifies to:
28-24c² / 7-6c