Question

expand 8acube+27bcube using identity​

Answer 1

Answer:

(2a+3b)(4a-6ab+9b)

Step-by-step explanation:

1. Remember the identity:

a³+b³= (a+b)(a²-ab+b²)

2. See the question:

8a³+27b³

3. Convert into the form of a³+b³:

(2a)³ + (3b)³

4. Expand using identity:

(2a+3b)[(2a)²-(2a)(3b)+(3b)²]

=> (2a+3b)(4a²-6ab+9b²)

☝️So here is your answer!

If you face difficulties in such questions, I suggest you to always go through the identities and think how you can apply them in the question.