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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.31 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-1)3 .
x3y3-x2y2+3xy-1
x3y3-3x2y2+3xy-3
x3y3-3x2y2+3xy-1

Q 2: Expand (xy-4)3.
x3y3-12x2y2+48xy-64
x3y3-3x2y2+48xy-64
x3y3-12x2y2+48xy-16

Q 3: Expand (3xy-2)3 .
27x3y3-36x2y2+36xy-8
27x3y3-54x2y2+36xy-8
27x3y3-54x2y2+36xy-4

Q 4: Expand (xy-2)3 .
x3y3-6x2y2+12xy-4
x3y3-3x2y2+12xy-8
x3y3-6x2y2+12xy-8

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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