Testing values is a solid approach here.
We can also solve this question using matching operations (my favorite Quantitative Comparison strategy)

Given:
Quantity A: \((x^3 + 1)^2\)
Quantity B: \(x^6\)

Expand and simplify Quantity A to get:
Quantity A: \(x^6 + 2x^3+1\)
Quantity B: \(x^6\)

Subtract \(x^6\) from both quantities to get:
Quantity A: \(2x^3+1\)
Quantity B: \(0\)

At this point, we can see that, if x = -10, Quantity A will be negative (i.e., less than 0)
And if x = 10, Quantity A will be positive (i.e., greater than 0)

Answer: D

RELATED VIDEO