(x+3)(x+2) Answer

Suzhoumeite

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Jul 03, 2024

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Expanding the Product of Two Binomials: (x+3)(x+2)

When we multiply two binomials, we need to follow the distributive property of multiplication over addition. In this case, we want to expand the product of (x+3) and (x+2).

Step 1: Multiply the First Terms

Multiply the first terms of each binomial: x and x.

x × x = x²

Step 2: Multiply the Outer Terms

Multiply the outer terms: x and 2.

x × 2 = 2x

Step 3: Multiply the Inner Terms

Multiply the inner terms: 3 and x.

3 × x = 3x

Step 4: Multiply the Last Terms

Multiply the last terms: 3 and 2.

3 × 2 = 6

Step 5: Combine Like Terms

Now, combine all the terms we've obtained:

x² + 2x + 3x + 6

Combine the like terms:

x² + 5x + 6

And that's the final answer! The expansion of (x+3)(x+2) is indeed x² + 5x + 6.