Factor these polynomial. (See Example 1.)8r3 − 27s3Example 1Factor each of the following p...

Factor these polynomial. (See Example 1.)

8r3 − 27s3

Example 1

Factor each of the following polynomials.

(a) k3 − 8

Solution Since 8 = 23, use the pattern for the difference of two cubes to obtain

 

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(b) m3 + 125

Solution

 

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(c) 8k2 − 27z3

Solution

 

Substitution and appropriate factoring patterns can sometimes be used to factor higher degree expressions.