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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)
3.4 Factorization: a3 + b3

Example:
Factorize, x3+8.

Solution:
Given that, x3+8.
We can write it as,
= x3+23
This is in the form of a3+b3 = (a+b)(a2-ab+b2).
Here a = x and b = 2, substitute these values in the formula, we get,
= (x+2)(x2-2x+4)


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, 64x3+27.
(4x+3)(16x2-12x+9)
(4x+3)(16x2+12x+9)
(4x-3)(16x2-12x+9)
None of these

Q 2: Factorize, 27x3+8.
(3x+2)(9x2+6x+4)
(3x+2)(9x2-6x+4)
None of these
(3x-2)(9x2-6x+4)

Q 3: Factorize, x3+27.
(x-3)(x2-3x+9)
(x+3)(x2+3x+9)
(x+3)(x2-3x+9)
None of these

Q 4: Factorize, 125x3+8y3.
(5x+2y)(25x2-10xy+4y2)
(5x+2y)(25x2+10xy+4y2)
(5x-2y)(25x210xy+4y2)
None of these

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Question 6: This question is available to subscribers only!


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