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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics7.29 Special Products: (a+b)3 = a3+3a2b+3ab2+b3

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

Example:
Expand (2x+y)3 .
Solution:
Using above formula, Let a = 2x and b = y in the above equation
(a+b)3 = (2x+y)3
= (2x)3+3(2x)2y+3(2x)y2+y3
= 8x3+12x2y+6xy2+y3

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Expand (3x+2y)3 .27x3+36x2y+36xy2+8y327x3+54x2y+24xy2+8y327x3+54x2y+36xy2+8y3 Q 2: Expand (2x+3)3 .8x3-36x2+54x+278x3+36x2+54x+278x3+36x2-54x+27 Q 3: Expand (x+3y)3 .x3+12x2y+27xy2+27y3x3+9x2y+27xy2+27y3x3+9x2y+9xy2+27y3 Q 4: Expand (3x+y)3 .27y3+27x2y+12xy2+y327y3+9x2y+9xy2+y327y3+27x2y+9xy2+y3 Q 5: Expand (x+2y)3 .x3+6x2y+12xy2-8y3x3+6x2y+12xy2+8y3x3-6x2y+12xy2+8y3 Q 6: Expand (3x+2)3 .27x3+54x2-36x+827x3+54x2+36x+827x3-54x2+36x+8 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!