Question

Factorise: (3a-5b)² + 2(3a-5b)(2b-a) + (2b-a)²​

Answer 1

Answer:

{ 5a - 6a }²

Step-by-step explanation:

( 3a - 5b )² + 2 ( 3a - 5b ) ( 2b - a ) + ( 2b - a )²

note that it follows a very simple identity -- ( a + b )² = a² + 2ab + b²

here, if you observe carefully...

a = 3a - 5b

b = 2b - a

and now, it is very simple...

it will be :::

{ ( 3a - 5b ) + ( 2b - a) }² = { 3a - 5b + 2b - a }²

= { 5a - 6b }² «-------- THAT'S YOUR ANSWER

Answer 2

Answer:

This is your answer

(3a - 5b)² + 2(3a - 5b)(2b - a) + (2b - a)²

= [( 3a - 5b ) + ( 2b - a )]²