February 25, 2015
HAPPY WEDNESDAY
Assignment: Worksheet
SPECIAL
PRODUCTS
February 25, 2015
WARM-UP
(4y - 5)(3y - 7)
(2x - 3)(2x2 + 5x - 1)
February 25, 2015
p. 483 #12-30 even, 31-36
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February 25, 2015
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February 25, 2015
Simplify
1. (3x)2
Find the product of:
(x + 5)2
2. (4y)2
February 25, 2015
Find the product
(c + 3)2
(c + 3)(c + 3)
c2 + 3c + 3c + 9 = c2 + 6c + 9
(m + 4)2
(m +4)(m + 4)
m2 + 4m + 4m + 16 = m2 + 8m + 16
(x + 7)2
(x + 7)(x + 7)
x2 + 7x + 7x + 49 = x2 + 14x + 49
February 25, 2015
Find the product
(c - 6)2
(c - 6)(c - 6)
c2 - 6c - 6c + 36 = c2 - 12c + 36
(m - 3)2 (m - 3)(m - 3)
m2 - 3m - 3m + 9 = m2 - 6m + 9
(x - 9)2
(x - 9)(x - 9)
x2 - 9x - 9x + 81 = x2 - 18x + 81
February 25, 2015
SQUARE OF A SUM / SQUARE OF A DIFFERENCE
SHORT CUT
(X + 3)2 = X2 + 2(3)(X) + 9
X2 + 6X + 9
(X - 7)2 = X2 - 2(7)(X) + 49
X2 - 14X + 49
February 25, 2015
(2x + 5)2
(2X)(2X) + 2(2X)(5) + (5)(5)
4X2 + 20X + 25
(8c + 3d)2
(8C)(8C) + 2(8C)(3D) + (3D)(3D)
64C2 + 48CD + 9D2
February 25, 2015
Find the product
(x + 3)(x - 3)
(x - 4)(x + 4)
(m +10)(m - 10)
February 25, 2015
PRODUCT OF A SUM AND A DIFFERENCE
(X + 3)(X - 3)
X2 + 3X - 3X - 9 = X2 - 9
the middle term becomes zero
February 25, 2015
(x - 9)(x + 9)
(x)(x) - (9)(9)
x2 - 81
(3n + 2)(3n - 2)
(3n)(3n) - (2)(2)
9n2 - 4
(6m + 7)(6m - 7)
(6m)(6m) - (7)(7)
36m2 - 49