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

1 Answer

3 votes

Answer:

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
User Yura Rodchyn
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