Math, asked by raju3152, 9 months ago

(a+b)³-(a-b)³ factorise plz ​

Answers

Answered by ashimaarorapurvika
1

Step-by-step explanation:

see the attachment.

hope it helped.

pls mark as the brainliest ans...

Attachments:
Answered by allysia
0

Answer:

The anwer you'll get after factorising is :

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

Step-by-step explanation:

Let,

 {(a + b)}^{}  = x

and,

 {(a  - b)}^{}  = y

Now,

Using identity,

 {x}^{3}  -  {y}^{3}  = (x - y)( {x}^{2}  - xy +  {y}^{2} )

We get,

(a + b - a + b)( {(a + b)}^{2}  + (a + b)(a - b) +  {(a - b)}^{2} ) \\  = (2b)( {a}^{2} + 2ab +  {b}^{2}  +   {a}^{2}    -  {b}^{2}  +  {a}^{2}  -  2ab +  {b}^{2} ) \\  = (2b)(3 {a}^{2}  +  {b}^{2} )

as your answer.

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