(x+3)(x+2)=

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (x + 3)(x + 2)

This expression represents the product of two binomials, (x + 3) and (x + 2). To expand it, we can use the distributive property (also known as FOIL).

FOIL Method

FOIL stands for First, Outer, Inner, Last, which guides us in multiplying the terms:

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of the binomials: x * 2 = 2x
3. Inner: Multiply the inner terms of the binomials: 3 * x = 3x
4. Last: Multiply the last terms of each binomial: 3 * 2 = 6

Combining Terms

After multiplying all the terms, we combine the like terms:

x² + 2x + 3x + 6

This simplifies to:

x² + 5x + 6

Therefore, the expanded form of (x + 3)(x + 2) is x² + 5x + 6.