%5E2.jpeg "(k+4)^2")
Understanding (k+4)^2
The expression (k+4)^2 represents the square of the binomial (k+4). This means we are multiplying the binomial by itself:
(k+4)^2 = (k+4) * (k+4)
To expand this expression, we can use the FOIL method:
- First: k * k = k^2
- Outer: k * 4 = 4k
- Inner: 4 * k = 4k
- Last: 4 * 4 = 16
Combining the terms, we get:
(k+4)^2 = k^2 + 4k + 4k + 16
Simplifying the expression, we have:
(k+4)^2 = k^2 + 8k + 16
Therefore, the expanded form of (k+4)^2 is k^2 + 8k + 16.
Key Takeaways:
- Squaring a binomial means multiplying it by itself.
- The FOIL method is a useful tool for expanding binomials.
- The expanded form of (k+4)^2 is a quadratic expression.
This understanding is crucial when working with algebraic expressions, simplifying equations, and solving problems involving quadratic equations.