Question

Multiply. $$ 5(8 p+q-5 r) $$

Name: Problem 66, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T01:19:12-08:00
Duration: 40 s
Channel: Julie Silva
Description: Multiply. 5(8 p+q-5 r)

   Multiply.
$$
5(8 p+q-5 r)
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 66

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This gives us: $$ 5 \cdot 8p + 5 \cdot q + 5 \cdot -5r $$ Show more…

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Multiply. $$ 5(8 p+q-5 r) $$

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic principle which states that multiplying a sum or difference by a number is equivalent to multiplying each addend by that number and then performing the addition or subtraction. This property is crucial for simplifying expressions and solving equations, as it allows you to remove parentheses and combine like terms.

Multiplication of Algebraic Expressions

Multiplication of algebraic expressions involves applying number multiplication rules to coefficients and combining variables according to exponent rules. When multiplying a constant by a term that includes variables, you multiply the constant with the numerical coefficient of the term while keeping the variable part unchanged, which is an essential process in simplifying and expanding algebraic expressions.

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