(x-4)-answer.jpeg "(2x+4)(x-4) Answer")
Expanding the Expression (2x+4)(x-4)
This expression represents the multiplication of two binomials. To solve it, we'll use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of the binomials.
- Inner: Multiply the inner terms of the binomials.
- Last: Multiply the last terms of each binomial.
Let's apply this to our expression:
1. First: 2x * x = 2x² 2. Outer: 2x * -4 = -8x 3. Inner: 4 * x = 4x 4. Last: 4 * -4 = -16
Now we have: 2x² - 8x + 4x - 16
5. Combine like terms: 2x² - 4x - 16
Therefore, the expanded form of (2x+4)(x-4) is 2x² - 4x - 16.
Simplifying the Expression
The expression can be further simplified by factoring out a 2 from each term:
2(x² - 2x - 8)
This represents the simplified form of the expression.
Conclusion
By using the FOIL method and combining like terms, we successfully expanded and simplified the expression (2x+4)(x-4) to 2x² - 4x - 16 or 2(x² - 2x - 8).