Question

To multiply (a + 3)(4u + 7), many students are taught the algorithm FOIL--First, Outer, Inner, Last. FOIL can be justified

by repcated applications of the:
associative law of multiplication.
O commutative law of addition.
O distributive law

Answer 1

The correct answer is distributive law. FOIL is a mnemonic device based on the distributive law for multiplying binomials.

Step-by-step explanation:

The correct answer is distributive law.

FOIL stands for First, Outer, Inner, Last and refers to the order in which the terms in the two parentheses are multiplied together when using the distributive law. It is a mnemonic device to help remember the steps for multiplying binomials.

Using the distributive law, you would multiply each term in the first parentheses (a and 3) by each term in the second parentheses (4u and 7) and then combine like terms:

(a + 3)(4u + 7) = a * 4u + a * 7 + 3 * 4u + 3 * 7 = 4au + 7a + 12u + 21

Learn more about FOIL and distributive law