University:
Everett Community College
Course:
MATH 151 | Calculus I
Academic year:

2008
Views:

327

Pages:

1
Author:

Cerkvenikkop

FACTORING SPECIAL PRODUCTS SUM OR DIFFERENCE OF CUBES The sum or difference of cubes factors into a binomial times a trinomial. a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2) Examples: 8x3 + 27y3 = (2x + 3y)(4x2 - 6xy + 9y2) 64x3 - 125y3 = (4x - 5y)(16x2 + 20xy + 25y2) Memorize the patterns: Sum or Difference of Cubes 8x3 + 27y3 cube same cube root sign root ( 2x + 3y )( 4x2 - 6xy + 9y2 ) 1st term squared product of 1st & 2nd with opposite sign 2nd term squared