Question

Simplify the expressions. $$-3(2 x+7)-(4 x-1)^{2}$$

Name: Problem 83, Chapter 4: Intermediate Algebra
Uploaded: 2020-06-25T12:03:46-08:00
Duration: 1 min 17 s
Channel: Ankit Gupta
Description: Simplify the expressions. -3(2 x+7)-(4 x-1)^2

   Simplify the expressions.
$$-3(2 x+7)-(4 x-1)^{2}$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 4, Problem 83

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Solved by Expert Ankit Gupta

06/25/2020

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Simplify the expressions. $$-3(2 x+7)-(4 x-1)^{2}$$

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Key Concepts

Expanding Binomials

Expanding binomials involves using formulas or foil methods to rewrite expressions raised to a power, such as squaring a binomial. This process transforms expressions like a binomial squared into a quadratic form by applying identities like (a - b)^2 = a^2 - 2ab + b^2.

Combining Like Terms

Combining like terms is the process of simplifying an algebraic expression by adding or subtracting terms that have the same variables raised to the same power. This step is crucial in reducing an expression to its simplest form after performing operations like distribution and expansion.

Distributive Property

The distributive property is a key algebraic rule that allows multiplication to be distributed over addition or subtraction inside parentheses. This property is essential for rewriting expressions by multiplying a term outside the parentheses with each term inside, thereby simplifying complex expressions.

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