Digital PSAT Math Practice Question 35: Answer and Explanation

Question: 35

Simplify: x⁴y² + x³y⁵ + xy⁶ + 2x³y⁵

• A. xy(x⁴ + 3x² y³ + y⁶)
• B. y² (x⁴ + 4x³ y⁴ + y³)
• C. x y² (x³ + 3x² y³ + y⁴)
• D. x(x³ y² + x² y⁵ + y⁶ + 2x⁴ y⁴)

Correct Answer: C

Explanation:

(C) Combine like terms, and then factor out what is common to all of the terms: