(5a+2)(a+4)=

Jasonbradley

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Jun 16, 2024

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

This expression represents the product of two binomials, (5a + 2) and (a + 4). To expand this expression, we can use the FOIL method:

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.

Let's apply this method step-by-step:

1. First: (5a) * (a) = 5a²

2. Outer: (5a) * (4) = 20a

3. Inner: (2) * (a) = 2a

4. Last: (2) * (4) = 8

Now, combine all the terms:

5a² + 20a + 2a + 8

Finally, combine the like terms:

5a² + 22a + 8

Therefore, the expanded form of the expression (5a + 2)(a + 4) is 5a² + 22a + 8.