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factoring a sum or difference of two cubes

Authored by Jhs Ma

Mathematics

8th Grade

Used 1+ times

factoring a sum or difference of two cubes
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15 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor 64-27a3

(4-3a)(9a2+12a+16)

(3a-4)(3a2+12a+16)

(4-3a)(3a2+12a+16)

(4-3a)3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Complete the formula
a³-b³=

(a-b)(a²+ab+b²)
(a+b)(a²-ab+b²)
(a-b)(a²-ab+b²)
(a+b)(a²+ab+b²)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The binomial 

 x3+y3x^3+y^3 is called a/an _________.

Difference of Two Squares

Sum of Two Cubes

Difference of Two Cubes

Square of a Binomial

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor completely 64x6+y664x^6+y^6 


 (4x2+y2)(16x44x2y2y4)\left(4x^2+y^2\right)\left(16x^4-4x^2y^2-y^4\right)  

 (4x2y2)(16x4+4x2y2+y4)\left(4x^2-y^2\right)\left(16x^4+4x^2y^2+y^4\right)  

 (4x2+y2)(16x44x2y2+y4)\left(4x^2+y^2\right)\left(16x^4-4x^2y^2+y^4\right)  

 (4x2y2)(16x44x2y2y4)\left(4x^2-y^2\right)\left(16x^4-4x^2y^2-y^4\right)  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the complete factored form of x3y9+1000x^3y^9+1000  


 (xy3+10)(x2y610xy3+100)\left(xy^3+10\right)\left(x^2y^6-10xy^3+100\right)  

 (xy+10)(x2y210xy+100)\left(xy^{ }+10\right)\left(x^2y^2-10xy^{ }+100\right)  

 (xy310)(x2y6+10xy3+100)\left(xy^3-10\right)\left(x^2y^6+10xy^3+100\right)  

 (xy310)(x2y620xy3+100)\left(xy^3-10\right)\left(x^2y^6-20xy^3+100\right)  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be multiplied to (5x2+2y)\left(5x^2+2y\right)  to get a product of  125x6+8y3125x^6+8y^3  ?


 (5x2+2y)\left(5x^2+2y\right)  

 (5x22y)\left(5x^2-2y\right)  

 (5x4+10x2y+2y2)\left(5x^4+10x^2y+2y^2\right)  

 (25x410x2y+4y2)\left(25x^4-10x^2y+4y^2\right)  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor the following binomial: 8x3-27

(2x+3)(4x2-6x+9)

(2x-3)(4x2+6x+9)

(2x-3)(4x2+6x-9)

(2x-3)(2x2+6x+9)

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