(3n+2)(n+3)

Multiply the 2 binomials using FOIL: (3n + 2)(n + 3) First-Outside-Inside-Last:(a + b)(c + d) = (a * c) + (b * c) + (a * d) + (b * d) a = 3n, b = 2, c = n, and d = 3 (3n + 2)(n + 3) = (3n * n) +

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Multiply the 2 binomials using FOIL:

(3n + 2)(n + 3)

Define FOIL Formula:

First-Outside-Inside-Last:
(a + b)(c + d) = (a * c) + (b * c) + (a * d) + (b * d)

Set our FOIL values:

a = 3n, b = 2, c = n, and d = 3

Evaluate:

(3n + 2)(n + 3) = (3n * n) + (2 * n) + (3n * 3) + (2 * 3)

(3n + 2)(n + 3) = 3n2 + 2n + 9n + 6

3n2 + 11n + 6


What is the Answer?

3n2 + 11n + 6

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.
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

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Binomial Multiplication (FOIL) Calculator?

FOILFirst Outside Inside Last - A method for multiplying two binomialsbinomialPolynomial which is the sum of two monomialsbinomial multiplication (foil)multiplicationmath operation involving the product of elementsvariableAlphabetic character representing a number

Example calculations for the Binomial Multiplication (FOIL) Calculator

Binomial Multiplication (FOIL) Calculator Video


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