Question

Find the product.
(y - 2bs^2) (y + 3bs^2)
Enter the correct answer.

Answer 1

y² + bs²y - 6b²s⁴

General Formulas and Concepts:

• Expand by FOIL (First Outside Inside Last)
• Exponent Power Rule:
  `(b^m)^n=b^(mn)`

Explanation:

Step 1: Define expression

(y - 2bs²)(y + 3bs²)

Step 2: FOIL

1. First: y · y = y²
2. Outside: y · 3bs² = 3bs²y
3. Inside: -2bs² · y = -2bs²y
4. Last: -2bs² · 3bs² = -6b²s⁴

Step 3: Simplify

1. Combine: y² + 3bs²y - 2bs²y - 6b²s⁴
2. Combine like terms: y² + bs²y - 6b²s⁴