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This is about supplementary math, my homework is: 5b + 40bk^3 , i want you to find the factoring difference of cubes

Sagot :


Step 1: 5b (1 + 8k³) or 5b (8k³+1)

Step 2: Factor the 8k³ + 1 
           This is sum of cubes, so the pattern is :
           a³ + b³ = (a + b) (a² - 2ab + b³)
 
 Therefore:
          8k³ + 1 = (2k + 1) (4k² - 2k + 1)

The final answer is:
        5b [(2k + 1) (4k² - 2k + 1)]