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(2x-3)(5x+6) Answer

less than a minute read Jun 16, 2024
(2x-3)(5x+6) Answer

Expanding the Expression: (2x-3)(5x+6)

This article will explore the process of expanding the expression (2x-3)(5x+6). This involves applying the distributive property, often referred to as FOIL (First, Outer, Inner, Last).

Expanding using FOIL

  • First: Multiply the first terms of each binomial: 2x * 5x = 10x²
  • Outer: Multiply the outer terms of the binomials: 2x * 6 = 12x
  • Inner: Multiply the inner terms of the binomials: -3 * 5x = -15x
  • Last: Multiply the last terms of each binomial: -3 * 6 = -18

Now we have: 10x² + 12x - 15x - 18

Simplifying the Expression

Combine the like terms: 10x² + (12x - 15x) - 18

The simplified expression is: 10x² - 3x - 18

Conclusion

Therefore, the expanded and simplified form of the expression (2x-3)(5x+6) is 10x² - 3x - 18. This process involves utilizing the distributive property and combining like terms for a concise result.

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