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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Middle/High School Algebra, Geometry, and Statistics (AGS)
3.6 Factorization: (a+b)3

Example:
Factorize, 8x3+36x2+54x+27.
Solution:
Given that, 8x3+36x2+54x+27.
We can write this as,
(2x)3+3.(2x)2.3+3.2x(3)2+(3)3.
This is the form of a3+3.a2.b+3.a.b2+b3 = (a+b)3.
Here a = 2x and b = 3, substitute these values in the equation we get,
= (2x+3)3.
Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize,27x3+54x2+36x+8.
(3x-2)3
(3x+2)3
(3x+2)2
None of these

 Q 2: Factorize, 8x3+12x2y+6xy2+y3.
(2x+y)3
(2x-y)3
(2x+y)2
None of these

Q 3: Factorize, 27x3+27x2y+9xy2+y3.
(3x+y)2
None of these
(3x-y)3
(3x+y)3

 Q 4: Factorize, x3+6x2y+12xy2+8y3.
(x-2y)3
(x+2y)3
(x+2y)2
None of these

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