Advertisements
Advertisements
प्रश्न
Factorise : 4(2x - 3y)2 - 8x+12y - 3
Advertisements
उत्तर
4(2x - 3y)2 - 8x+12y - 3
= 4(2x - 3y)2 - 4(2x - 3y) - 3
Let us assume that 2x - 3y = a
Then the given expression is
4(2x - 3y)2 - 8x+12y - 3
= 4a2 - 4a - 3
= 4a2 - 6a + 2a - 3
= 2a( 2a - 3 ) + 1( 2a - 3)
= ( 2a - 3 )( 2a + 1 )
= [ 2( 2x - 3y ) - 3 ][ 2( 2x - 3y ) + 1 ]
= ( 4x - 6y - 3 )( 4x - 6y + 1 )
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
2y, 22xy
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise.
ax + bx − ay − by
Factorize the following:
5x − 15x2
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Factorize the following:
x4y2 − x2y4 − x4y4
Factorize the following:
9x2y + 3axy
Factorize the following:
16m − 4m2
Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : (a2 - 3a) (a2 - 3a + 7) + 10
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise:
5a2 - b2 - 4ab + 7a - 7b
Factorise : 3 - 5x + 5y - 12(x - y)2
Factorise : a3 - a2 +a
Factorise : 3x2 + 6x3
Factorise : 17a6b8 - 34a4b6 + 51a2b4
factorise : 35a3b2c + 42ab2c2
factorise : ab(x2 + y2) - xy (a2 + b2)
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
