step 1 We're being asked a factor 16x squared minus 81. Well, notice 16x squared and 81 are both perfec

Question

Factor. $16 x^{2}-81$

Name: Problem 12, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-04-03T20:03:18-08:00
Duration: 1 min 11 s
Channel: Julie Silva
Description: Factor. 16 x^2-81

   Factor.
$16 x^{2}-81$

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 8, Problem 12

Instant Answer

Solved by Expert Julie Silva

04/03/2020

Step 1

The general form of a difference of squares is $a^{2}-b^{2} = (a+b)(a-b)$. Show more…

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Factor. $16 x^{2}-81$

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Key Concepts

Polynomial Factoring

Polynomial factoring is the process of expressing a polynomial as a product of its factors, which are simpler polynomials. This process is crucial for simplifying expressions and solving polynomial equations in algebra.

Difference of Squares

The difference of squares is a specific factoring technique applied to expressions of the form a² - b². It uses the algebraic identity a² - b² = (a - b)(a + b), which allows one to factor such expressions quickly if both terms are perfect squares.

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