Question

216a^3-125b^3 that is solve
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Answer 1

Step-by-step explanation:

Given expression is 216a³-125b³

It can be written as (6a)³-(5b)³

This is in the form of a³-b³

Here, a=6a and b=5b

We know that

a³-b³=(a-b)(a²+ab+b²)

(6a)³-(5b)³=(6a-5b)[(6a)²+(6a)(5b)+(5b)²]

=>(6a)³-(5b)³=(6a-5b)(36a²+30ab+25b²)

216a³-125b³=(6a-5b)(36a²+30ab+25b²)