Expanding (x+3)(x+4)
The expression (x+3)(x+4) represents the product of two binomials. To find the answer, we can use the FOIL method:
First: Multiply the first terms of each binomial.
- x * x = x²
Outer: Multiply the outer terms of the binomials.
- x * 4 = 4x
Inner: Multiply the inner terms of the binomials.
- 3 * x = 3x
Last: Multiply the last terms of each binomial.
- 3 * 4 = 12
Now, combine all the terms: x² + 4x + 3x + 12
Finally, simplify by combining like terms: x² + 7x + 12
Therefore, the expanded form of (x+3)(x+4) is x² + 7x + 12.