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(5a-2)(2a-3)

2 min read Jun 16, 2024
(5a-2)(2a-3)

Multiplying Binomials: (5a - 2)(2a - 3)

This article will guide you through the process of multiplying the binomials (5a - 2) and (2a - 3). We'll use the FOIL method, which stands for First, Outer, Inner, Last.

FOIL Method Breakdown

  1. First: Multiply the first terms of each binomial: (5a) * (2a) = 10a²

  2. Outer: Multiply the outer terms of the binomials: (5a) * (-3) = -15a

  3. Inner: Multiply the inner terms of the binomials: (-2) * (2a) = -4a

  4. Last: Multiply the last terms of each binomial: (-2) * (-3) = 6

Combining the Terms

Now, we have the following expression: 10a² - 15a - 4a + 6

Finally, combine the like terms: 10a² - 19a + 6

Conclusion

Therefore, the product of (5a - 2) and (2a - 3) is 10a² - 19a + 6. The FOIL method is a simple and effective way to multiply binomials. Remember to combine like terms at the end to get the final simplified expression.

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