Question

Perform the operations. $$(2 x-3)^{2}$$

   Perform the operations.
$$(2 x-3)^{2}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 10, Problem 45

Instant Answer

Solved by Expert Sherrie Fenner

07/21/2020

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This is the same as $(2x-3)(2x-3)$. Show more…

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Perform the operations. $$(2 x-3)^{2}$$

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Key Concepts

Square of a Binomial

This concept involves recognizing that squaring a binomial, such as (a + b) or (a - b), follows a specific pattern. The formula (a ± b)² = a² ± 2ab + b² is a fundamental result that simplifies the process of expanding the expression and is widely used in algebra for polynomial manipulation.

Distributive Property

The distributive property is key to expanding expressions in algebra. It states that multiplying a sum by a term is the same as multiplying each addend by the term and then adding the results. This property is essential for understanding how to systematically expand products of expressions, such as binomials.

FOIL Method

The FOIL method is a specific application of the distributive property used for multiplying two binomials. FOIL stands for First, Outer, Inner, Last, referring to the order in which pairs of terms are multiplied. This method provides a structured way to obtain the expanded form of a binomial product.

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