Question

Factorise :-
i) 36( x + y)² - 49( x - y)²​

Answer 1

Answer:

it's answer is 1105x^2-2210xy+3697y^2

Step-by-step explanation:

step 1. (36X+36y)^2-(49x-49y)^2

step 2. 1296x^2+2592xy+1296y^2-2401x^2-4802xy+2401y^2

step 3. 1296x^2-2401x^2+2592xy-4802xy+1296y^2+2401y^2

step 4. 1105x^2-2210xy+3697y^2 ✓✓✓ answer

Answer 2

Answer:

( x - 13y) ( -13x +y)

Step-by-step explanation:

36 ( x² + y² + 2xy) - 49 ( x² + y ² -  2xy )

= 36 x² + 36 y² + 72xy - 49 x² - 49 y² + 98 xy

= 36x² - 49x² + 36y² - 49y² + 72xy + 98xy

= -13x²-13y² + 170 xy

= - 13 x² + 170 xy - 13y²

= -13x² + 169xy + 1xy - 13y²

= -13x ( x- 13y) + 1 y ( x - 13y)

= ( x - 13y) ( -13x +y)

So the factors are ( x - 13y) ( -13x +y)