(x+2)(x+4) Answer

Suzhoumeite

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Jul 03, 2024

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Expanding the Product: (x+2)(x+4)

When we multiply two binomials, we need to follow the distributive property of multiplication over addition. In this case, we have the product of (x+2) and (x+4). Let's break it down step by step:

Step 1: Multiply the First Terms

Multiply the first terms of each binomial:

x (from (x+2)) × x (from (x+4)) = x^2

Step 2: Multiply the Outer Terms

Multiply the outer terms:

x (from (x+2)) × 4 (from (x+4)) = 4x

Step 3: Multiply the Inner Terms

Multiply the inner terms:

2 (from (x+2)) × x (from (x+4)) = 2x

Step 4: Multiply the Last Terms

Multiply the last terms:

2 (from (x+2)) × 4 (from (x+4)) = 8

Step 5: Combine Like Terms

Now, let's combine the results of each step:

x^2 + 4x + 2x + 8

Combine like terms:

x^2 + 6x + 8

And that's the final answer!

(x+2)(x+4) = x^2 + 6x + 8

I hope this step-by-step explanation helps you understand the process of expanding the product of two binomials!