Respuesta :

Space

Answer:

y² + bs²y - 6b²s⁴

General Formulas and Concepts:

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

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

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