Question

Simplify each expression. $$8(2 c d+7 c)-2(c d-3 c)$$

   Simplify each expression.
$$8(2 c d+7 c)-2(c d-3 c)$$

Intermediate Algebra

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 93

Instant Answer

Solved by Expert Jeyasree R T

08/04/2020

Step 1

This gives us: $$8(2 c d+7 c)-2(c d-3 c) = 16cd + 56c - 2cd + 6c$$ Show more…

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Simplify each expression. $$8(2 c d+7 c)-2(c d-3 c)$$

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Key Concepts

Distributive Property

The distributive property allows you to multiply a term outside the parentheses with each term inside the parentheses. This step is crucial for removing the parentheses and preparing the expression for further simplification.

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variables raised to the same powers. This process consolidates similar terms to simplify an expression, making it more compact and easier to understand.

Simplifying Algebraic Expressions

Simplifying an algebraic expression means applying rules such as the distributive property and combining like terms to rewrite the expression in its simplest form. This process helps in making the expression more manageable for further algebraic manipulations or evaluations.

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