Download presentation

Published byMia Wentworth Modified over 4 years ago

1
**Lesson 9.5: Factoring Difference of Squares, page 500**

Objectives: To factor binomials that are the difference of squares. To solve equations involving the differences of squares.

2
**Review of 9.3 & 9.4 Define factoring.**

How do we check our answer after factoring? Factor: A) k2 – 11kh + 28h2 B) 4x2 + 2x - 6

3
**DIFFERENCE OF TWO SQUARES**

Review Multiply using FOIL: (x – 3) (x + 3). x2 + 3x – 3x - 9 Answer: x2 – 9 Remember: the outside/inside terms cancel b/c they are opposite terms. Multiply: (y + 2)(y – 2) Answer: y2 – 4 This answer is a special case called the DIFFERENCE OF TWO SQUARES (a.k.a. DOTS).

4
**Factoring the Difference of Two Squares (DOTS)**

Clue 1: usually only 2 terms Clue 2: minus sign Clue 3: both terms are perfect squares General Form: x2 – y2 = (x + y)(x - y) MEMORIZE THESE PERFECT SQUARES: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256,…, 400,…,625,…900,…,10000

5
**Example 1: Factor each binomial. x2 – y2 = (x + y)(x - y)**

a) x2 – 25 b) 3a2 – 48 c) 169x2 – y2 d) 81a2 – 121b2 Note: Always check for the GCF.

6
m² - 64 3b³ - 27b g) 16y² - 81z² h)

7
**Ex. 2: Apply several different factoring techniques.**

1. 6x³ + 30x² - 24x - 120

8
**Ex. 3: Solve equations by factoring.**

– 68k² = 0

9
3. a = 49a³

10
**Review Examples Factor Completely**

4x2 – 12x 12q2b +8qb2 – 20q3b2 2am – 2bm – ap + bp y2 – 5y + 6 10k2 – 11kh + 3h2 64m2 – 25n2

11
SUMMARY x2 – y2 = (x + y)(x - y) NBA #5, page 505, problems even

Similar presentations

OK

Using Lowest Common Denominator to add and subtract fractions

Using Lowest Common Denominator to add and subtract fractions

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google