(3x%2B8).jpeg "(3x+1)(3x+8)")
Expanding (3x+1)(3x+8)
This article will cover how to expand the expression (3x+1)(3x+8).
Understanding the Problem
The expression (3x+1)(3x+8) represents the product of two binomials. To expand this, we need to multiply each term in the first binomial by each term in the second binomial.
The FOIL Method
A common technique for expanding binomials is the FOIL method. FOIL 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.
Applying FOIL
Let's apply the FOIL method to our expression (3x+1)(3x+8):
- First: (3x)(3x) = 9x²
- Outer: (3x)(8) = 24x
- Inner: (1)(3x) = 3x
- Last: (1)(8) = 8
Combining Like Terms
Now we have: 9x² + 24x + 3x + 8
Combining the like terms (24x and 3x): 9x² + 27x + 8
Final Result
Therefore, the expanded form of (3x+1)(3x+8) is 9x² + 27x + 8.