Question

factorise 36x²-4y²-12x-4y​

Answer 1

Answer:

do it yourself man

Step-by-step explanation:

it means factorise it with any method I dont know

Answer 2

Answer:

4 ( 3x + y ) ( 3x - y -1 )

Step-by-step explanation:

GIVEN

TO FACTORISE

36x²- 4y²- 12x - 4y

SOL:

36x²- 4y²- 12x - 4y

= (6)²x²- (2)²y²- (2)(6)x - (2)(2)y​

= (6x)² - 2(6x)(1) + 1 - (2y)² - 2(2y)(1) - 1

= (6x)² - 2(6x)(1) + 1 - ( (2y)² + 2(2y)(1) + 1 )

= ​( 6x - 1 )² - ( 2y + 1 )²

= ( [ 6x - 1 ] + [ 2y + 1 ] ) ( [ 6x - 1 ] - [ 2y + 1 ] )

= ( 6x + 2y ) ( 6x - 2y - 2 )

= [ 2( 3x + y ) ] [ 2( 3x - y - 1 ) ]

= 4 ( 3x + y ) ( 3x - y -1 )

FORMULAE

(a+b)² = a² + b² + 2ab

(a-b)² = a² + b² - 2ab

a² - b² = (a+b)(a-b)

HOPE IT HELPS