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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics7.30 Special Products: (a-b)3 = a3-3a2b+3ab2-b3

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

Example:
Expand (a-5b)3 .
Solution:
Using above formula, Let a = a and b = 5b in the above equation
(a-b)3 = (a-5b)3
= (a)3-3(a)2(5b)+3(a)(5b)2-(5b)3
= a3-15a2b+75ab2-125b3

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Expand (3x-2)3 .27x3+54x2-36x-827x3-54x2+36x-827x3-54x2+36x+8 Q 2: Expand (2x-y)3 .8x3-6x2y+6xy2-y38x3-12x2y+8xy2-y38x3-12x2y+6xy2-y3 Q 3: Expand (x-3y)3 .x3-27x2y+27xy2-27y3x3-9x2y+27xy2-27y3x3-9x2y+9xy2-27y3 Q 4: Expand (x-2y)3 . x3-6x2y+12xy2-8y3x3-8x2y+12xy2-8y3x3-6x2y+24xy2-8y3 Q 5: Expand (3x-2y)3 .27x3-54x2y+24xy2-8y327x3-54x2y+36xy2-8y327x3-24x2y+54xy2-8y3 Q 6: Expand (2x-3y)3 .8x3-36x2y+54xy2-27y38x3-36x2y+36xy2-27y38x3-24x2y+54xy2-27y3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!