Question

Square the binomials. $(2 c+5)^{2}$

   Square the binomials.
$(2 c+5)^{2}$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 5, Problem 71

Instant Answer

Solved by Expert Julie Silva

03/24/2021

Step 1

We need to square this binomial. 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. $(2 c+5)^{2}$

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Key Concepts

Binomial

A binomial is an algebraic expression that contains exactly two terms, usually separated by a plus or minus sign. Understanding binomials is essential as they form the basis of many algebraic operations and further polynomial manipulations.

Squaring a Binomial

Squaring a binomial involves multiplying the binomial by itself. This process can be efficiently carried out using the formula (a + b)^2 = a^2 + 2ab + b^2, which simplifies the expression into a perfect square trinomial. Mastery of this concept is crucial when working with polynomial expressions.

Perfect Square Trinomial

A perfect square trinomial is the result of squaring a binomial and consists of three terms: the square of the first term, twice the product of the two terms, and the square of the second term. Recognizing this form helps in quickly simplifying expressions and solving quadratic equations.

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