√(100(a-2)²) = 10(a-2)√(4(a-4)²) = 2(a-4)
Therefore, the expression simplifies to:
10(a-2) - 2(a-4)= 10a - 20 - 2a + 8= 8a - 12
So, √(100(a-2)²)-√(4(a-4)²) simplifies to 8a - 12.
√(100(a-2)²) = 10(a-2)
√(4(a-4)²) = 2(a-4)
Therefore, the expression simplifies to:
10(a-2) - 2(a-4)
= 10a - 20 - 2a + 8
= 8a - 12
So, √(100(a-2)²)-√(4(a-4)²) simplifies to 8a - 12.