(2x+5)(x+4) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (2x+5)(x+4)

This article will guide you through the process of expanding the expression (2x+5)(x+4). We will use the FOIL method, a common technique for multiplying binomials.

Understanding the FOIL Method

FOIL stands for First, Outer, Inner, Last, and it helps us remember the steps to multiply two binomials.

• First: Multiply the first terms of each binomial.
• Outer: Multiply the outer terms of the binomials.
• Inner: Multiply the inner terms of the binomials.
• Last: Multiply the last terms of each binomial.

Applying the FOIL Method

Let's apply the FOIL method to our expression (2x+5)(x+4):

1. First: (2x)(x) = 2x²
2. Outer: (2x)(4) = 8x
3. Inner: (5)(x) = 5x
4. Last: (5)(4) = 20

Combining the terms

Now we combine the terms we got from each step:

2x² + 8x + 5x + 20

Simplifying the expression

Finally, we combine the like terms (the terms with 'x'):

2x² + 13x + 20

Therefore, the expanded form of (2x+5)(x+4) is 2x² + 13x + 20.