Advertisements
Advertisements
प्रश्न
Factorise : 25(2a - b)2 - 81b2
Advertisements
उत्तर
25(2a - b)2 - 81b2
= [ 5( 2a - b )]2 - (9b)2
= [ 5( 2a - b ) - 9b ][ 5( 2a - b ) + 9b ]
[ ∵ a2 - b2 = ( a + b )( a - b )]
= [ 10a - 5b - 9b ][ 10a - 5b + 9b ]
= [ 10a - 14b ][ 10a + 4b ]
= 2 x ( 5a - 7b ) x 2 x ( 5a + 2b )
= 4( 5a - 7b )( 5a + 2b )
APPEARS IN
संबंधित प्रश्न
Factorise : 4a2b - 9b3
Factorise : a4 - 1
Factorise : a3 + 2a2 - a - 2
Factorise : 4a2 - 49b2 + 2a - 7b
Factorise : (a2 + b2 - 4c2)2 - 4a2b2
Factorise : a2 ( b + c) - (b + c)3
Factorise the following by the difference of two squares:
625 - b2
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following:
4xy - x2 - 4y2 + z2
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
