Multiply the 2 binomials using FOIL and the box method:
(2x + 1)(4x + 1)
Define FOIL Formula:
First-Outside-Inside-Last:
(a + b)(c + d) = (a * c) + (b * c) + (a * d) + (b * d)
Set our FOIL values:
a = 2x, b = 1, c = 4x, and d = 1
Evaluate:
(2x + 1)(4x + 1) = (2x * 4x) + (1 * 4x) + (2x * 1) + (1 * 1)
(2x + 1)(4x + 1) = 8x2 + 4x + 2x + 1
FOIL Box Method
Write the first 2 terms across the top and the next 2 terms horizontally
| 2x | 1 | |
| 4x | ||
| 1 |
Multiply each top row term by the respective left column term
| 2x | 1 | |
| 4x | 2x * 4x | 1 * 4x |
| 1 | 2x * 1 | 1 * 1 |
(2x + 1)(4x + 1) = (2x * 4x) + (1 * 4x) + (2x * 1) + (1 * 1)
(2x + 1)(4x + 1) = 8x2 + 4x + 2x + 1
Final Answer
8x2 + 6x + 1
What is the Answer?
8x2 + 6x + 1
How does the Binomial Multiplication (FOIL) Calculator work?
Free Binomial Multiplication (FOIL) Calculator - Multiplies out the product of 2 binomials in the form (a + b)(c + d) with 1 unknown variable.
This utilizes the First-Outside-Inside-Last (F.O.I.L.) method. Also calculates using the FOIL Box Method.
This calculator has 2 inputs.
This utilizes the First-Outside-Inside-Last (F.O.I.L.) method. Also calculates using the FOIL Box Method.
This calculator has 2 inputs.
What 2 formulas are used for the Binomial Multiplication (FOIL) Calculator?
FOIL = First, Outside, Inside, Last. Multiply the first terms together, then the outside terms together, then the inside terms together, then the last term together.
(a + b)(c + d) = ab + ad + bc + bd
(a + b)(c + d) = ab + ad + bc + bd
What 5 concepts are covered in the Binomial Multiplication (FOIL) Calculator?
- FOIL
- First Outside Inside Last - A method for multiplying two binomials
- binomial
- Polynomial which is the sum of two monomials
- binomial multiplication (foil)
- multiplication
- math operation involving the product of elements
- variable
- Alphabetic character representing a number
