Question
Here is the question : SIMPLIFY THIS EQUATION USING THE FOIL METHOD: (3N + 2)(N + 4).
Option
Here is the option for the question :
- 3n^2 + 14n + 8
- 4n +6
- 4n^2 + 2n + 6
- 3n + 6
The Answer:
And, the answer for the the question is :
Explanation:
Finding the product of two binomials (algebraic expressions that are being multiplied together) using the FOIL method is a useful tool. Use the FOIL method to determine the proper order of multiplication: Outer, then Inner, then Central. 3n x n = 3n2, 3n x 4 = 12n, 2 x n = 2n, and 2 x 4 = 8 are the forms these equations will take. This yields an answer of 3n2 + 12n + 2n + 8, which can be further simplified by combining comparable words to obtain 3n2 + 14n + 8.
The FOIL method is a common technique used to multiply two binomials together. Binomials are expressions that contain two terms, such as (3n + 2) and (n + 4). The FOIL method stands for First, Outer, Inner, Last, and is a way to remember the steps involved in multiplying binomials.
To use the FOIL method to simplify the equation (3n + 2)(n + 4), we first multiply the first terms in each binomial together:
3n x n = 3n^2
Next, we multiply the outer terms in each binomial together:
3n x 4 = 12n
Then, we multiply the inner terms in each binomial together:
2 x n = 2n
Finally, we multiply the last terms in each binomial together:
2 x 4 = 8
Now, we can combine these four products to simplify the equation:
(3n + 2)(n + 4) = 3n^2 + 12n + 2n + 8
Simplifying this expression by combining like terms, we get:
(3n + 2)(n + 4) = 3n^2 + 14n + 8
Therefore, using the FOIL method, we can simplify the equation (3n + 2)(n + 4) to 3n^2 + 14n +8.
The FOIL method is a useful technique for multiplying binomials, and is often used in algebra and other areas of mathematics. It can be applied to larger expressions as well, by breaking them down into smaller binomial expressions and applying the FOIL method to each pair of terms.
there are other techniques for multiplying binomials, such as the distributive property and the use of algebraic identities. These techniques can be used to simplify more complex expressions and to solve equations in algebraic and other mathematical contexts.
Understanding these techniques is important for solving problems in mathematics, as well as for developing more advanced mathematical skills. By mastering the FOIL method and other techniques for multiplying binomials, students can build a strong foundation in algebra and prepare for more advanced topics in mathematics and science.
the FOIL method is a useful technique for multiplying binomials, and can be used to simplify equations and expressions in algebra and other areas of mathematics. Understanding this method, as well as other techniques for multiplying binomials, is essential for developing strong mathematical skills and problem-solving abilities.