(5a+2)(a+4) In Standard Form

2 min read Jun 16, 2024

Expanding and Simplifying (5a + 2)(a + 4)

This article will guide you through the process of expanding and simplifying the expression (5a + 2)(a + 4) to get the standard form of a polynomial.

Understanding the Process

The expression is in the form of a product of two binomials. To expand it, we'll 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.

Applying the FOIL Method

First: (5a) * (a) = 5a²
Outer: (5a) * (4) = 20a
Inner: (2) * (a) = 2a
Last: (2) * (4) = 8

Now, we have: 5a² + 20a + 2a + 8

Simplifying the Expression

Finally, combine the like terms (the terms with 'a'):

5a² + 20a + 2a + 8 = 5a² + 22a + 8

Conclusion

Therefore, the standard form of the expression (5a + 2)(a + 4) is 5a² + 22a + 8. This process illustrates how to expand and simplify algebraic expressions involving binomials.