Question

Apply the distributive property to create an equivalent expression: 12(6e−3f−43)21​(6e−3f−34​).

a. 3e−3/2f−2/3
b. 6e−3f−2
c. 3e−3/2f+2/3
d. 3e−3f−2/3

Answer 1

To apply the distributive property, we multiply each term inside the parentheses by the term outside the parentheses, and then combine like terms.

Step-by-step explanation:

To apply the distributive property, we multiply each term inside the parentheses by the term outside the parentheses. In this case, we have:

12 * 6e = 72e

12 * -3f = -36f

12 * -43 = -516

Now, we multiply each term inside the second set of parentheses:

21 * 6e = 126e

21 * -3f = -63f

21 * -34 = -714

Combining like terms, we get the equivalent expression:

72e - 36f - 516 + 126e - 63f - 714

Simplifying further, we have:

(72e + 126e) + (-36f - 63f) + (-516 - 714)

198e - 99f - 1230

Therefore, the correct answer is (b) 6e - 3f - 41.2.