Question

Remove parentheses and simplify. $$ 2 p-(7-4 p) $$

   Remove parentheses and simplify.
$$
2 p-(7-4 p)
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 81

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This changes the sign of both terms inside the parentheses. So, the equation becomes: $$ 2p - 7 + 4p $$ Show more…

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Remove parentheses and simplify. $$ 2 p-(7-4 p) $$

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Key Concepts

Simplification of Algebraic Expressions

Simplification is the process of reducing an algebraic expression to its most concise and understandable form by applying algebraic properties such as distribution and combining like terms. This is crucial in solving equations or further manipulating expressions.

Distributive Property

The distributive property allows a factor outside a parenthesis to be multiplied by each term inside, effectively removing the parentheses. It is essential in ensuring that expressions are correctly expanded before further simplification.

Combining Like Terms

Combining like terms involves merging terms that have the same variable part by adding or subtracting their coefficients. This process helps in reducing the expression to a simpler form, making it easier to understand or solve.

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