Use the distributive property to write an equivalent expression: -4(7x + 2). Table 1.4 shows a number of other forms of the distributive property. Table 1.4 Other Forms of the Distributive Property Property Meaning Example a(b — с) - аb — ас 5(4x – 3) = 5. 4x – 5. 3 Multiplication distributes over subtraction. 20x – 15 a(b + c + d) = ab + ac + ad | Multiplication distributes over three or more terms 4(x + 10 + 3y) 4x + 4. 10 + 4. 3y in parentheses. 4x + 40 + 12y Multiplication on the right | (x + 7)9 = x - 9 + 7.9 distributes over addition (b + c)a ba + ca = 9x + 63 (or subtraction).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the distributive property to write an equivalent
expression: -4(7x + 2).
Table 1.4 shows a number of other forms of the distributive property.
Table 1.4 Other Forms of the Distributive Property
Property
Meaning
Example
a(b — с) - аb — ас
5(4x – 3) = 5. 4x – 5. 3
Multiplication distributes
over subtraction.
20x – 15
a(b + c + d) = ab + ac + ad | Multiplication distributes
over three or more terms
4(x + 10 + 3y)
4x + 4. 10 + 4. 3y
in parentheses.
4x + 40 + 12y
Multiplication on the right | (x + 7)9 = x - 9 + 7.9
distributes over addition
(b + c)a
ba + ca
= 9x + 63
(or subtraction).
Transcribed Image Text:Use the distributive property to write an equivalent expression: -4(7x + 2). Table 1.4 shows a number of other forms of the distributive property. Table 1.4 Other Forms of the Distributive Property Property Meaning Example a(b — с) - аb — ас 5(4x – 3) = 5. 4x – 5. 3 Multiplication distributes over subtraction. 20x – 15 a(b + c + d) = ab + ac + ad | Multiplication distributes over three or more terms 4(x + 10 + 3y) 4x + 4. 10 + 4. 3y in parentheses. 4x + 40 + 12y Multiplication on the right | (x + 7)9 = x - 9 + 7.9 distributes over addition (b + c)a ba + ca = 9x + 63 (or subtraction).
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