1. Mr. Jay Mar Bolajo Mathematics 2 A.Y 2011-2012 First Quarter
SPECIAL PRODUCTS
Mr. Jay Mar Bolajo Mathematics 2
A.Y
First Quarter

2. 1) Square of Binomial 2) The product of Sum and Difference of binomial
3) Cube of Binomial

3. * CUBE OF BINOMIALS
(x+ y)3

4. =(x+ y)2 (x+ y) = (x+ y) (x+ y) (x+ y) (x+ y)
(x2 + 2xy + y2)
(x+ y)
= x3+x2y + 2x2y + xy2 + 2xy2 +y3
= (x3+3x2y + 3xy2 +y3)

5. (x+ y)3 = (x3+3x2y + 3xy2 +y3) cube of the first term
three times the first term times the square the second term
three times the square of the first term times the second term
cube of the second term

6. = d3 +9d2 + 24d + 27 ex. 1 (d + 3)3 = (d + 3) (d + 3) (d + 3)
= d3 +3d2 + 6d2 + 18d + 9d + 27
= d3 +9d2 + 24d + 27

7. ex (d + 3)3
= d3 +9d2 + 24d + 27
three times the square of the first term times the second term
cube of the second term
cube of the first term
three times the square of the first term times the second term

8. (3)(p)(4)2 = ex. 2 (p + 4)3 = (p)3 cube of the first term
(4)3
cube of the first term
three times the square of the first term times the second term
three times the square of the first term times the second term
cube of the second term

9. = p3 + 12p2 + 48p + 64 + 64 = p3 + 48p + 12p2 (3)(p)(4)2 = (p)3
ex (p + 4)3
(3)(p)2 (4)
= (p)3
(4)3
(3)(p)(4)2
+ 64
= p3
+ 48p
+ 12p2
= p3 + 12p2 + 48p + 64

10. Ex. 3 (2x + 1)3