# Worksheet: Sum and Difference of Two Cubes

In this worksheet, we will practice factoring the sum and the difference of two cubes.

Q1:

Given that , find an expression for .

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Q2:

The expression has two factors. One factor is . What is the other factor?

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Q3:

Factorize fully .

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Q4:

Factorize fully .

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Q5:

Factorize fully .

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Q6:

Factorize fully .

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Q7:

Factorize fully .

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Q8:

Factorize fully .

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Q9:

Factorize fully .

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Q10:

If and , what is the value of ?

Q11:

Complete the following: .

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Q12:

Complete the factorization: .

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Q13:

Complete the following: .

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Q14:

If , , and , what is the value of ?

Q15:

What is the result of , where ?

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Q16:

Factorize fully .

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Q17:

Factorize fully .

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Q18:

Factorize fully .

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Q19:

If , what is the value of ?

Q20:

Factorize fully .

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Q21:

Factorize fully .

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Q22:

If , what is the value of ?

Q23:

Expand and simplify , and then factorize the result completely.

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Q24:

Factorize fully .

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Q25:

Factorize fully .

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