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Chapter 6: Q. 197 (page 603)

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
z6-27

Short Answer

Expert verified

The factored form of the given expression is (z2-3)(z4+3z2+9).

Step by step solution

01

Step 1. Given information.

The given expression is:
z6-27

02

Step 2. Determine the factored form.

The given expression can be written as:

z6-27=(z2)3-33=(z2-3)(z2)2+(z2)(3)+32鈭�a3-b3=(a-b)(a2+ab+b2)=(z2-3)z4+3z2+9

03

Step 3. Conclusion.

The factored form of the given expression is (z2-3)(z4+3z2+9).

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