Advertisements
Advertisements
प्रश्न
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Advertisements
उत्तर
Let us assume, a2 - a = x
Then the given expression is,
(a2 - a) (4a2 - 4a - 5) - 6
= x( 4x - 5 ) - 6
= 4x2 - 5x - 6
= 4x2 - 8x + 3x - 6
= 4x( x - 2 ) + 3( x - 2 )
= ( 4x + 3 )( x - 2 )
= [ 4( a2 - a ) + 3 ]( a2 - a - 2 ) [ resubstitute the value of x ]
= [ 4a2 - 4a + 3 ]( a2 - a - 2 )
= [ 4a2 - 4a + 3 ]( a2 - 2a + a - 2 )
= [ 4a2 - 4a + 3 ][ a( a - 2 ) + 1( a - 2 )]
= [ 4a2 - 4a + 3 ]( a - 2 )( a + 1 )
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
2y, 22xy
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise the following expression:
ax2y + bxy2 + cxyz
Factorise.
15pq + 15 + 9q + 25p
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Factorize the following:
9x2y + 3axy
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 4(2x - 3y)2 - 8x+12y - 3
Factorise : 3 - 5x + 5y - 12(x - y)2
Factorise : 9x 2 + 3x - 8y - 64y2
Find the value of : ( 67.8 )2 - ( 32.2 )2
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
factorise:
9a (x − 2y)4 − 12a (x − 2y)3
Factorise:
a2 – ab(1 – b) – b3
factorise : (ax + by)2 + (bx - ay)2
factorise : ab(x2 + y2) - xy (a2 + b2)
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise the following by taking out the common factors:
12a3 + 15a2b - 21ab2
Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2
