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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)
3.2 Factorization: a3 - b3

Example:
Factorize, 27x3-8.
Solution:
Given that, 27x3-8.
We can write this as,
= (3x)3-(2)3
This is in the form of a3-b3 = (a-b)(a2+ab+b2)
here, a = 3x and b = 2, substitute these value in the above equation, we get
= (3x-2)(9x2+6x+4)

Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, 8x3-125.
None of these
(2x-5)(4x2+10x+25)
(2x-5)(4x2-10x+25)
(2x+5)(4x2+10x+25)

Q 2: Factorize, 64x3-27.
(4x-3)(16x2-12x+9)
(4x+3)(16x2+12x+9)
None of these
(4x-3)(16x2+12x+9)

Q 3: Factorize, 27x3-64.
(3x-4)(9x2-12x+16)
None of these
(3x+4)(9x2+12x+16)
(3x-4)(9x2+12x+16)

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

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Question 6: This question is available to subscribers only!


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