Question

Factorise each of the given : 8a³+b³+12a²b+6ab²

Answer 1

ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ yᴏᴜ :)

ᴩʟᴇᴀꜱᴇ ᴍᴀʀᴋ ᴍᴇ ᴀꜱ ʙʀᴀɪɴʟɪᴇꜱᴛ :-:

Answer 2

Answer:

$(2a\ +\ b)(2a\ +\ b)(2a\ +\ b)$

Step-by-step explanation:

According to the question

The given expression is :

$8a^{3}\ +\ b^{3}\ +\ 12a^{2}b\ +\ 6ab^{2}$

Now, we have to factorize the above expression

$8a^{3}\ +\ b^{3}\ +\ 12a^{2}b\ +\ 6ab^{2}$

It can be written as

$(2a)^{3}\ +\ (b)^{3}\ +\ 3(2a)^{2}(b)\ +\ 3(2a)(b)^{2}$

= $(2a\ +\ b)^{3}$ (Using the formula $(a\ +\ b)^{3} = a^{3}\ +\ b^{3}\ +\ 3a^{2}b\ +\ 3ab^{2})$

= $(2a\ +\ b)(2a\ +\ b)(2a\ +\ b)$  (Answer)