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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)
3.3 Factorization: c(a3 + b3)

Example:
Factorize, 2x3+54.

Solution:
Given that, 2x3+54.
Take 2 as common, we get,
2[x3+27]
We can write it as,
= 2[x3+33]
This is in the form of a3+b3 = (a+b)(a2-ab+b2).
Here a = x and b = 3, substitute these values in the formula, we get,
= 2(x+3)(x2-3x+9)


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, 32x3+4y3.
4(2x-y)(4x2+2xy+y2)
4(2x+y)(4x2-2xy+y2)
None of these
4(2x+y)(4x2-2xy+y2)

Q 2: Factorize, 3x3+81.
3(x+3)(x2+3x+9)
None of these
3(x+3)(x2-3x+9)
3(x-3)(x2-3x+9)

Q 3: Factorize, 54x3+16.
2(3x+2)(9x2+6x+4)
2(3x+2)(9x2-6x+4)
None of these
2(3x-2)(9x2-6x+4)

Q 4: Factorize, 2x3+250.
2(x+5)(x2-5x+25)
2(x+5)(x2+5x+25)
None of these
2(x-5)(x2-5x+25)

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Question 6: This question is available to subscribers only!


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