(x+4)(x+8) Answer

Suzhoumeite

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Jul 03, 2024

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Expanding the Expression: (x+4)(x+8)

When we are given the expression (x+4)(x+8), our task is to expand it into a simpler form. In this article, we will go through the step-by-step process of expanding this expression.

Step 1: Multiply the Two Binomials

To expand the expression, we need to multiply the two binomials: (x+4) and (x+8). We can do this by multiplying each term in the first binomial with each term in the second binomial.

Step 2: Multiply the Terms

Multiply the terms as follows:

• x (from the first binomial) with x (from the second binomial) = x^2
• x (from the first binomial) with 8 (from the second binomial) = 8x
• 4 (from the first binomial) with x (from the second binomial) = 4x
• 4 (from the first binomial) with 8 (from the second binomial) = 32

Step 3: Combine Like Terms

Now, combine the like terms:

• x^2 (no like terms)
• 8x and 4x are like terms, combine them: 12x
• 32 (no like terms)

The Expanded Expression

Therefore, the expanded expression is:

(x+4)(x+8) = x^2 + 12x + 32

And that's it! We have successfully expanded the expression (x+4)(x+8).