(5-2x)(3+x) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (5-2x)(3+x)

This article will guide you through the process of expanding the expression (5-2x)(3+x). This type of expression involves multiplying two binomials, which often requires using the FOIL method.

What is the FOIL method?

FOIL stands for First, Outer, Inner, Last. It's a mnemonic device used to remember the steps involved in multiplying two binomials.

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

Applying FOIL to our expression

Let's apply the FOIL method to expand (5-2x)(3+x):

1. First: (5)(3) = 15
2. Outer: (5)(x) = 5x
3. Inner: (-2x)(3) = -6x
4. Last: (-2x)(x) = -2x²

Now we have: 15 + 5x - 6x - 2x²

Simplifying the expression

Finally, combine the like terms to simplify the expression:

15 - x - 2x²

Therefore, the expanded form of (5-2x)(3+x) is 15 - x - 2x².