Question

To verify the identity a3 - b3 =(a-b)(a2+ab+b2) for simple cases by using a set of units ​

Answer 1

Answer:

Step-by-step explanation:

• a³ - b³ = (a-b) ( a² +ab + b²)
• a³-b³ = a(a²+ab+b²)-b(a²+ab+b²)
• a³-b³= a³+a²b+ab²-ba²-ab²-b³
• a³-b³= a³-b³

Answer 2

Answer:

please read the following for answer

Step-by-step explanation:

step 1 - a³ - b³ = (a-b) ( a² +ab + b²)

step 2 - a³-b³ = a(a²+ab+b²)-b(a²+ab+b²)

step 3 - a³-b³= a³+a²b+ab²-ba²-ab²-b³ (we used an algebric identity)

step 4 - a³-b³= a³-b³

hence, proved L.H.S = R.H.S