(x%2B8).jpeg "(x-6)(x+8)")
Expanding (x - 6)(x + 8)
This expression represents the product of two binomials: (x - 6) and (x + 8). To expand it, we can use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of each binomial.
- Inner: Multiply the inner terms of each binomial.
- Last: Multiply the last terms of each binomial.
Let's apply this method to our expression:
F: x * x = x² O: x * 8 = 8x I: -6 * x = -6x L: -6 * 8 = -48
Now, we combine the terms:
x² + 8x - 6x - 48
Finally, we simplify by combining the like terms:
x² + 2x - 48
Therefore, the expanded form of (x - 6)(x + 8) is x² + 2x - 48.
Additional Notes
- The expanded form is also known as the product of binomials.
- The FOIL method is a helpful visual aid to remember the steps involved in multiplying binomials.
- You can also use the distributive property to expand the expression.
- The expanded form can be used to solve equations, graph functions, and find the roots of a polynomial.
Remember, understanding how to expand binomials is a fundamental skill in algebra, and it will be useful in many different contexts.