Verified Answer :

Answer:  8a^3b^3

Explanation

The two terms we are multiplying are

  • 2a^2b
  • 4ab^2

The coefficients out front multiply to 2*4 = 8 which is the coefficient of the final answer shown above.

The 'a' terms have their exponents add to 2+1 = 3. Think of 4ab^2 as 4a^1b^2. This is why a^3 is part of the answer.

The b terms have their exponents add to 1+2 = 3. Think of 2a^2b as 2a^2b^1. This is why b^3 is part of the answer.

Overall the answer is 8a^3b^3

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