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(6a+5)(5a+3)

less than a minute read Jun 16, 2024
(6a+5)(5a+3)

Expanding the Expression (6a + 5)(5a + 3)

This article will demonstrate how to expand the expression (6a + 5)(5a + 3) using the FOIL method.

What is FOIL?

FOIL stands for First, Outer, Inner, Last. This mnemonic device helps us remember the steps involved in multiplying two binomials.

Expanding the Expression

  1. First: Multiply the first terms of each binomial: (6a) * (5a) = 30a²

  2. Outer: Multiply the outer terms of the binomials: (6a) * (3) = 18a

  3. Inner: Multiply the inner terms of the binomials: (5) * (5a) = 25a

  4. Last: Multiply the last terms of the binomials: (5) * (3) = 15

Now, we have: (6a + 5)(5a + 3) = 30a² + 18a + 25a + 15

  1. Combine like terms: 30a² + (18a + 25a) + 15 = 30a² + 43a + 15

Conclusion

Therefore, the expanded form of the expression (6a + 5)(5a + 3) is 30a² + 43a + 15.

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