(b%2B2)-in-standard-form.jpeg "(3b-4)(b+2) In Standard Form")
Expanding and Simplifying (3b-4)(b+2) into Standard Form
This article will guide you through the process of expanding and simplifying the expression (3b-4)(b+2) into standard form.
Understanding Standard Form
Standard form for a polynomial is when the terms are arranged in descending order of their exponents. For example, a quadratic expression in standard form would look like: ax² + bx + c
Expanding the Expression
To expand the expression (3b-4)(b+2), we can use the FOIL method:
- First: Multiply the first terms of each binomial. (3b * b) = 3b²
- Outer: Multiply the outer terms of each binomial. (3b * 2) = 6b
- Inner: Multiply the inner terms of each binomial. (-4 * b) = -4b
- Last: Multiply the last terms of each binomial. (-4 * 2) = -8
This gives us the expanded expression: 3b² + 6b - 4b - 8
Simplifying the Expression
The next step is to simplify the expanded expression by combining like terms:
- 3b² + (6b - 4b) - 8
- 3b² + 2b - 8
Final Answer
Therefore, the simplified expression of (3b-4)(b+2) in standard form is 3b² + 2b - 8.