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How would the expression x^3-3√(3) be rewritten using difference of cubes

2 Answers

4 votes
I'm not sure if this is what you mean, but the expression can be written as:
(x^3/2 + 3^3/4)(x^3/2 - 3 ^3/4) or ((√x)³ + (⁴√3)³)((√x)³ - (⁴√3)³)
User YMC
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6 votes

Answer:


x^(3)-(√(x) )^3

Explanation:

The given expression is x³ - 3√3

We have to rewrite the expression in the forem of difference of cubes.

x³ - 3√3 = x³ - √(3)³

=
x^3-(3)^{(3)/(2)}

=
x^(3)-(√(x) )^3

Therefore, we can rewrite the expression as


x^(3)-(√(x) )^3

User Aladdin
by
8.2k points

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