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### Grade 8 - Mathematics7.31 Special Products: (a-b)3 = a3-3a2b+3ab2-b3

#### Formula : (a-b)3 = a3-3a2b+3ab2-b3

Example:
Expand (xy-3)3 .
Solution:
Using above formula, Let a = xy and b = 3 in the above equation
(a-b)3 = (xy-3)3
= (xy)3-3(xy)2(3)+3(xy)(3)2-(3)3
= x3y3-9x2y2+27xy-27

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Expand (xy-5)3 .x3y3-15x2y2+75xy-125x3y3-15x2y2+75xy-25x3y3-5x2y2+75xy-125 Q 2: Expand (xy-2)3 .x3y3-6x2y2+12xy-8x3y3-3x2y2+12xy-8x3y3-6x2y2+12xy-4 Q 3: Expand (xy-4)3.x3y3-3x2y2+48xy-64x3y3-12x2y2+48xy-16x3y3-12x2y2+48xy-64 Q 4: Expand (xy-1)3 .x3y3-x2y2+3xy-1x3y3-3x2y2+3xy-1x3y3-3x2y2+3xy-3 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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