(x%2B6)-multiply.jpeg "(x+5)(x+6) Multiply")
Multiplying Binomials: (x + 5)(x + 6)
This article will guide you through the process of multiplying the binomials (x + 5) and (x + 6). We'll use the FOIL method which stands for First, Outer, Inner, Last, a helpful mnemonic for remembering the steps.
Understanding FOIL
First: Multiply the first terms of each binomial: x * x = x²
Outer: Multiply the outer terms of the binomials: x * 6 = 6x
Inner: Multiply the inner terms of the binomials: 5 * x = 5x
Last: Multiply the last terms of each binomial: 5 * 6 = 30
Applying FOIL
Now let's apply these steps to our problem:
- First: x * x = x²
- Outer: x * 6 = 6x
- Inner: 5 * x = 5x
- Last: 5 * 6 = 30
Combining Like Terms
We are left with: x² + 6x + 5x + 30
Combining the like terms (6x and 5x) gives us: x² + 11x + 30
Final Answer
Therefore, (x + 5)(x + 6) = x² + 11x + 30.
Conclusion
The FOIL method is a simple and effective way to multiply binomials. By applying this method, you can systematically multiply each term of one binomial by each term of the other, leading to the correct expanded form of the product.