Question

Squares of Binomials Multiply. $$(5 c-2 d)^{2}$$

   Squares of Binomials
Multiply.
$$(5 c-2 d)^{2}$$

Intermediate Algebra : Concepts and Applications

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger,… 10th Edition

Chapter 5, Problem 47

Instant Answer

Solved by Expert Ankit Gupta

07/20/2020

Step 1

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

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Squares of Binomials Multiply. $$(5 c-2 d)^{2}$$

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Key Concepts

Binomials

A binomial is a polynomial expression that consists of exactly two terms. These terms are usually separated by a plus or minus sign, and binomials form the foundation for many algebraic operations and factorization techniques.

Square of a Binomial

Squaring a binomial involves multiplying the binomial by itself, which leads to an expression of the form (a ± b)² = a² ± 2ab + b². This formula is a key tool in algebra for expanding expressions quickly and accurately without performing full polynomial multiplication.

Special Product Formulas

Special product formulas are standard algebraic formulas that provide shortcuts for multiplying certain types of expressions. The square of a binomial formula is one such key formula, as it simplifies the expansion process and is widely applied in solving and simplifying algebraic equations.

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