(3k%2B2).jpeg "(k+4)(3k+2)")
Expanding the Expression (k+4)(3k+2)
This article will guide you through the process of expanding the expression (k+4)(3k+2). This is a common type of algebraic expression that involves multiplying two binomials.
Understanding the Process
The process of expanding this expression involves using the distributive property. This property states that to multiply a sum by a number, you multiply each term of the sum by that number.
In this case, we have:
(k+4)(3k+2) = k(3k+2) + 4(3k+2)
Applying the Distributive Property
Let's apply the distributive property to each term:
- k(3k+2) = 3k² + 2k
- 4(3k+2) = 12k + 8
Combining the Terms
Finally, we combine the terms we got after applying the distributive property:
3k² + 2k + 12k + 8
This simplifies to:
3k² + 14k + 8
Conclusion
Therefore, the expanded form of the expression (k+4)(3k+2) is 3k² + 14k + 8. This process is crucial in simplifying algebraic expressions and solving equations.
Remember, the distributive property is a fundamental tool in algebra, allowing you to break down complex expressions into simpler ones.