Special Products of Polynomials

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Presentation transcript:

Special Products of Polynomials March 24, 2014 Pages 569-571

Find the product. 1. (3x + 4)2 = (3x + 4)(3x + 4) Simplify. 2. (5x – 2y)2 = (5x – 2y)(5x - 2y) = 25x2 – 10xy – 10xy + 4y2 =25x2 – 20xy + 4y2 Simplify.

3. (x + 3)2 = (x + 3)(x + 3) = x2 + 3x + 3x + 9 = x2 + 6x + 9 Simplify. 4. (2x + 1)2 = (2x + 1) + (2x + 1) = 4x2 + 2x + 2x + 1 = 4x2 + 4x + 1 Simplify.

5. (4x – y)2 = (4x – y)(4x – y) = 16x2 – 4xy – 4xy + y2 = 16x2 – 8xy + y2 Simplify.

Use special products to find the product 26 34. REVIEW Use special products to find the product 26 34. SOLUTION Notice that 26 is 4 less than 30 while 34 is 4 more than 30. 26 34 = (30 – 4)(30 + 4) Write as product of difference and sum. = 302 – 42 Sum and difference pattern = 900 – 16 Evaluate powers. = 884 Simplify.

6. (t + 5)(t – 5) = t2 – 52 = t2 – 25 7. (3x + y)(3x – y) = (3x)2 – y2 Sum and difference pattern = t2 – 25 Simplify. 7. (3x + y)(3x – y) = (3x)2 – y2 Sum and difference pattern = 9x2 – y2 Simplify.

HOMEWORK Page 572, #4-34, even