Advertisements
Advertisements
प्रश्न
Factorise : 4x4 - x2 - 12x - 36
उत्तर
Factorise : 4x4 - x2 - 12x - 36
= 4x4 - ( x2 + 12x + 36 )
= ( 2x2)2 - ( x2 + 2x × 6x + 62 )
= ( 2x2)2 - ( x + 6 )2
= ( 2x2 + x + 6 )( 2x2 - x - 6 )
= ( 2x2 + x + 6 )( 2x2 - 4x + 3x - 6 )
= ( 2x2 + x + 6 )[ 2x( x - 2 ) + 3( x - 2 )]
= ( 2x2 + x + 6 )[ ( x - 2)( 2x + 3 )]
= ( 2x2 + x + 6 )( x - 2 )( 2x + 3 )
APPEARS IN
संबंधित प्रश्न
Factorise : a2 - (2a + 3b)2
Factorise : a2 - 81 (b-c)2
Factorise : 9(a - 2)2 - 16(a + 2)2
Factorise : 9a2 + 3a - 8b - 64b2
Factorise the following by the difference of two squares:
16a4 - 81b4
Factorise the following by the difference of two squares:
x2 + y2 - z2 - 2xy
Factorise the following by the difference of two squares:
(x - 2y)2 -z2
Factorise the following:
b2 - 2bc + c2 - a2
Factorise the following:
(x + y)3 - x - y
Express each of the following as the difference of two squares:
(x2 - 2x + 3) (x2 - 2x - 3)
