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Which of the following quadratics can be factored using the "difference of squares"? 36x²-81 27-3x² Ox²-8x+16 4x²-1 O x² +100x eTextbook and Media Save for Later Search hp Attempt

Which of the following quadratics can be factored using the "difference of squares"? 36x²-81 27-3x² Ox²-8x+16 4x²-1 O x² +100x eTextbook and Media Save for Later Search hp Attempt

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:** Which of the following quadratics can be factored using the "difference of squares"? - [ ] \(36x^2 - 81\) - [ ] \(27 - 3x^2\) - [ ] \(x^2 - 8x + 16\) - [x] \(4x^2 - 1\) - [ ] \(x^2 + 100x\) **Options:** 1. \(36x^2 - 81\) 2. \(27 - 3x^2\) 3. \(x^2 - 8x + 16\) 4. \(4x^2 - 1\) 5. \(x^2 + 100x\) *Note:* The "difference of squares" is a specific factoring technique used when an expression is written in the form \(a^2 - b^2\) and it can be factored as \((a - b)(a + b)\). In this example, the correct choice is \(4x^2 - 1\), because it is of the form \((2x)^2 - (1)^2\), which can be factored using this method.
Transcribed Image Text:**Question:** Which of the following quadratics can be factored using the "difference of squares"? - [ ] \(36x^2 - 81\) - [ ] \(27 - 3x^2\) - [ ] \(x^2 - 8x + 16\) - [x] \(4x^2 - 1\) - [ ] \(x^2 + 100x\) **Options:** 1. \(36x^2 - 81\) 2. \(27 - 3x^2\) 3. \(x^2 - 8x + 16\) 4. \(4x^2 - 1\) 5. \(x^2 + 100x\) *Note:* The "difference of squares" is a specific factoring technique used when an expression is written in the form \(a^2 - b^2\) and it can be factored as \((a - b)(a + b)\). In this example, the correct choice is \(4x^2 - 1\), because it is of the form \((2x)^2 - (1)^2\), which can be factored using this method.
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