Question

What is the expanded form of (8/5−7/2)²?

a) (64/25) - (112/10) + (49/4)
b) (64/25) - (56/5) + (49/4)
c) (64/25) - (112/5) + (49/4)
d) (64/25) - (56/10) + (49/4)

Answer 1

The expanded form of (8/5−7/2)² is (64/25) - (112/5) + (49/4).

Step-by-step explanation:

The expanded form of (8/5−7/2)² is option c) (64/25) - (112/5) + (49/4).

To find the expanded form, we first calculate the square of (8/5−7/2). We start by finding the common denominator, which is 10. So, we have (8/5) - (7/2) = 16/10 - 35/10 = -19/10.

Next, we square -19/10 (-19/10)² by multiplying it by itself, which equals 361/100.

Finally, we can write the expanded form as (8/5−7/2)² = (64/25) - (112/5) + (49/4).