Advertisements
Advertisements
Question
Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2
Advertisements
Solution
(x2 + 4y2 - 9z2)2 - 16x2y2
= (x2 + 4y2 - 9z2)2 - ( 4xy )2
= ( x2 + 4y2 - 9z2 - 4xy )( x2 + 4y2 - 9z2 + 4xy ) [ ∵ a2 - b2 = ( a + b )( a - b )]
= ( x2 + 4y2 - 4xy - 9z2 )( x2 + 4y2 + 4xy - 9z2 )
= [( x - 2y )2 - (3z)2 ][ ( x + 2y )2 - (3z)2 ]
= [( x - 2y ) - 3z ][( x - 2y ) + 3z ][( x + 2y ) - 3z ][( x + 2y ) + 3z ]
= [ x - 2y - 3z ][ x - 2y + 3z ][ x + 2y - 3z ][ x + 2y + 3z ]
APPEARS IN
RELATED QUESTIONS
Factorise : a4 - 1
Factorise: 4a2 - (4b2 + 4bc + c2)
Factorise : 4a2 - 12a + 9 - 49b2
Factorise : a2 + b2 - c2 - d2 + 2ab - 2cd
Factorise : 4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise : `4x^2 + 1/(4x)^2 + 1`
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following by the difference of two squares:
16a4 - 81b4
Factorise the following by the difference of two squares:
(x - 2y)2 -z2
Factorise the following:
(x + y)3 - x - y
