Question

Find the product. $$(2 x-9)(2 x+9)$$

   Find the product.
$$(2 x-9)(2 x+9)$$

Algebra and Trigonometry Real Mathematics, Real People

Algebra and Trigonometry Real Mathematics, Real People

Ron Larson 7th Edition

Chapter 2, Problem 98

Instant Answer

Solved by Expert Ankit Gupta

07/27/2020

Step 1

We can recognize this as a difference of squares, which follows the formula $a^2 - b^2 = (a-b)(a+b)$. Show more…

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Find the product. $$(2 x-9)(2 x+9)$$

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Key Concepts

Difference of Squares

The difference of squares is an algebraic identity that expresses the product of two binomials in the form (a - b)(a + b) as a^2 - b^2. This identity simplifies calculations by eliminating the need for full distribution and is particularly useful when the given factors fit the required structure.

Algebraic Factorization

Algebraic factorization involves rewriting expressions as products of simpler expressions. Recognizing patterns such as the difference of squares helps in breaking down complex expressions, making them easier to manipulate and solve for variables.

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