[PDF] [PDF] I LESSON 115 • FACTORING THE DIFFERENCE OF TWO

[PDF] Lesson plan 14 Teaching the difference of two squares for

3 fév 2015 · 2 Brief description of the lesson: To help students reason towards and discover the difference of two squares formula using a hands-on geometric 

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1) x² - 25 2) x² - 100 3) x² - 900 4) x² - 1 5) x² - y² 6) 4x² - 9 7) 16x² - 49 8) 9x² - 16 9) 25x² - y² 10) x² - 9y² 11) 36x² - 49y² 12) 1600 - 9x² Activity 2: Factorise 

[PDF] Factoring the Difference of Squares

Intermediate Algebra Skill Factoring the Difference of Squares Factor each completely 1) 9x 2 − 1 2) 4n 2 − 49 3) 36k 2 − 1 4) p 2 − 36 5) 2x 2 − 18

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This is a set of guiding questions and materials for creating your own lesson plan on factoring the difference of two squares and some perfect square trinomials

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What is a Perfect Square? List all of the perfect squares from 1 – 100: This expression is called a difference of two squares (Notice the subtraction sign between 

[PDF] Factoring the Difference of Squares worksheet

Elementary Algebra Skill Factoring the Difference of Squares Factor each completely 1) a 2 − 49 2) a 2 − 64 3) p 2 − 144 4) b 2 − 25 5) x 2 − 9 6) x

[PDF] I LESSON 115 • FACTORING THE DIFFERENCE OF TWO

To factor a binomial that is a difference of two perfect squares: I Express each of its terms as the square of a monomial 2 Apply the rule a2 — 6' = (a + b)(a — b)

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FанаDecide if a binomial can be written as the difference of two squares and, 15 {7/3, 7} 16 6 in x 4 in Maintain Your Skills 1 D 2 A Practice Worksheet

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INTEGRATED ALGEBRA 1

MR THOMPSON

F /I

EXAMPLE I

LESSON 11.5

• FACTORING THE DIFFERENCE OF TWO PERFECT SQUARES HOMEWORK ASSIGNMENT # 86: PAGES 453-454: # 2 - 28 EVENS

An expression of the form a2 - b2 is called a difference of two perfect squares.Factoring the difference of two perfect squares is the reverse of multiplying thesum of two terms by the difference of the same two terms. Since the product(a + b)(a - b) is a2 - b2, the factors of•a2 b2 are (a + b) and (a - b). Therefore:

a2 - 62= (a + b)(a - b) To factor a binomial that is a difference of two perfect squares: I. Express each of its terms as the square of a monomial.

2. Apply the rule a2 - 6' = (a + b)(a - b).

Remember that a monomial is a square if and only if its numerical coeffi-cient is a square and the exponent of each of its variables is an even number.

Factor each polynomial.

Think a.r2 - 1(r)2 - (1)2 b.25? - igy2(5.02 - (42 c.0.04 - c6d4(0.2)2 - (e3d2)2 Write (r + 1)(r - 1) (5x + iy)(5x - .1y) (0.2 + c3d2)(0.2 - c3c12)

EXAMPLE 2 luw,..14. ---,Forwzz7:2:rTiF 1., .

Express x2 - 100 as the product of two binomials.

Solution Since x2 - 100 is a difference of two squares, the square of x and the square of10, the factors of x2 - 100 are (x + 10) and (x - 10).

Answer (x + 10)(x - 10)

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tEXERCESEV

Writing About Mathematics

1. If 391 can be written as 400 - 9, find two factors 01 391 without using a calculator or penciland paper. Explain how you found your answer.

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Developing Skills

In 3-18, factor each binomial.

3. a2 - 45. 9 - x2

Applying Skills

:n 19-23, each given polynomial represents the area of a rectangle. Express the area as the product,f two binomials.

19. x2 -4

In 24-26, express the area of each shaded region as: a. the difference of the areas shown, and b. theproduct of two binomials.

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In 27 and 28, express the area of each shaded region as the product of two binomials. 27.
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