Final answer:
To rewrite the expression (1/8) * x³ * y + (7/8) * x * y² using a common factor, we can simplify the coefficients and identify the common factor of x and y to get (1/8) * xy * (x² + 7y).
Step-by-step explanation:
To rewrite the expression (1/8) * x³ * y + (7/8) * x * y² using a common factor, we can first find the common factor of the coefficients (1/8 and 7/8), which is 1/8. Then, we can rewrite the expression as (1/8) * (x³ * y) + (1/8) * (7x * y²). The common factor of x and y in both terms is xy. We can further simplify the expression as (1/8) * xy * (x² + 7y).