Question

How would the expression x^3-64 be written using difference of cubes

Answer 1

The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)

How to write an expression as difference of cubes?

Difference of cubes can be rewritten in the form of;

a³ – b³ = (a – b)(a² + ab + b²)

So in this question, we are given;

x³ - 64 = x³ - (4)³

where a = x and b = 4

This gives us;

(x - 4)(x² + 4x + 4²)

⇒ (x - 4)(x² + 4x + 16)

Read more about difference in cubes at; brainly.com/question/2747971

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