Jasonbradley
Home

(x+5)(2x-9)

2 min read Jun 16, 2024
(x+5)(2x-9)

Expanding the Expression: (x + 5)(2x - 9)

This article explores the expansion of the algebraic expression (x + 5)(2x - 9). We'll use the FOIL method to simplify this expression.

Understanding the FOIL Method

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

  1. First: Multiply the first terms of each binomial.
  2. Outer: Multiply the outer terms of the binomials.
  3. Inner: Multiply the inner terms of the binomials.
  4. Last: Multiply the last terms of each binomial.

Applying FOIL to (x + 5)(2x - 9)

Let's apply the FOIL method to our expression:

  1. First: (x)(2x) = 2x²
  2. Outer: (x)(-9) = -9x
  3. Inner: (5)(2x) = 10x
  4. Last: (5)(-9) = -45

Now, we combine the resulting terms:

2x² - 9x + 10x - 45

Finally, we simplify by combining like terms:

2x² + x - 45

Conclusion

By using the FOIL method, we successfully expanded the expression (x + 5)(2x - 9) to 2x² + x - 45. This technique provides a systematic approach for multiplying binomials and obtaining a simplified polynomial expression.

Featured Posts