Question

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

Answer 1

Answer:

y² + bs²y - 6b²s⁴

General Formulas and Concepts:

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

Step-by-step 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