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What is (2a-2) (a+3) using Foil Method?

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Answer:

2a^2 + 4a - 6

Explanation:

The FOIL Method is a way to multiply two monomials (aka expand) and each letter has the following meaning:

  • F refers to the product of the first terms (2a and a),
  • O refers to the product of the outer terms (2a and 3),
  • I refers to the product of the inner terms (-2 and a),
  • and L refers to the product of the last terms (-2 and 3).

We find all the products and combine like terms to simplify:

(2a * a) + (2a * 3) + (-2 * a) + (-2 * 3)

2a^2 + 6a - 2a - 6

2a^2 + 4a - 6

Thus, 2a^2 + 4a - 6 is the expanded product of (2a - 2)(a + 3).

User VIjay J
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