Question

Square the binomials. $(5 d-9)^{2}$

   Square the binomials.
$(5 d-9)^{2}$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 5, Problem 72

Instant Answer

Solved by Expert Julie Silva

03/24/2021

Step 1

We can use the formula for squaring a binomial which is $(a-b)^{2} = a^{2} - 2ab + b^{2}$. Show more…

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Square the binomials. $(5 d-9)^{2}$

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Key Concepts

Binomials

Binomials are algebraic expressions consisting of two terms, typically connected by a plus or minus sign. They serve as foundational elements in algebra and are commonly involved in operations like addition, subtraction, multiplication, and factoring.

Square of a Binomial

Squaring a binomial involves multiplying the binomial by itself. This operation uses the standard identity (a ± b)² = a² ± 2ab + b², which simplifies the expansion process and is critical for solving various algebraic problems.

Algebraic Expansion

Algebraic expansion refers to the process of multiplying out expressions and combining like terms to simplify an expression. In the context of squaring a binomial, it helps in systematically applying distributive properties to obtain the expanded form.

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