(3x%2B3).jpeg "(2x+3)(3x+3)")
Expanding the Expression: (2x + 3)(3x + 3)
This article will walk through the process of expanding the expression (2x + 3)(3x + 3). We will use the FOIL method, which stands for First, Outer, Inner, Last.
Understanding FOIL
The FOIL method helps us multiply binomials by systematically multiplying each term in the first binomial with each term in the second binomial.
F (First): Multiply the first term of each binomial: (2x)(3x) = 6x²
O (Outer): Multiply the outer terms of the binomials: (2x)(3) = 6x
I (Inner): Multiply the inner terms of the binomials: (3)(3x) = 9x
L (Last): Multiply the last term of each binomial: (3)(3) = 9
Combining the Terms
Now, we add all the terms we calculated:
6x² + 6x + 9x + 9
Finally, we combine like terms:
6x² + 15x + 9
Therefore, the expanded form of (2x + 3)(3x + 3) is 6x² + 15x + 9.
Key Points
- The FOIL method is a useful technique for expanding binomials.
- Make sure to combine like terms after applying the FOIL method to get the final simplified expression.
- Remember that you can also use the distributive property to expand binomials, but FOIL provides a systematic approach.