(x-2).jpeg "(x+7)(x-2)")
Expanding the Expression (x+7)(x-2)
This article will guide you through the process of expanding the expression (x+7)(x-2). We will use the FOIL method to achieve this.
FOIL Method
FOIL stands for First, Outer, Inner, Last. This method helps us multiply two binomials by systematically multiplying each term of the first binomial with each term of the second binomial.
1. First: Multiply the first terms of each binomial:
- x * x = x²
2. Outer: Multiply the outer terms of the binomials:
- x * -2 = -2x
3. Inner: Multiply the inner terms of the binomials:
- 7 * x = 7x
4. Last: Multiply the last terms of the binomials:
- 7 * -2 = -14
Combining the Terms
Now we have: x² - 2x + 7x - 14
Combine the like terms: x² + 5x - 14
Conclusion
Therefore, the expanded form of (x+7)(x-2) is x² + 5x - 14.
This method can be used to expand any binomial expression. Remember to carefully apply the FOIL method and combine like terms to get the final expanded form.