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.
2x, 3x2, 4
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Factorize the following:
a4b − 3a2b2 − 6ab3
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factorize the following:
9x2y + 3axy
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factorise : 4x4 + 9y4 + 11x2y2
Factorise : `x^2 + 1/x^2 - 3`
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise : 9x 2 + 3x - 8y - 64y2
Factorise : 2√3x2 + x - 5√3
Factorise : 4a2 - 8ab
Factorise : 15x4y3 - 20x3y
Factorise : 3x5y - 27x4y2 + 12x3y3
Factorise : x2(a-b)-y2 (a-b)+z2(a-b)
Factorise : (x + y)(a + b) + (x - y)(a + b)
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise: a2 - 0·36 b2
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
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")`
Factorise:
x4 + y4 - 6x2y2
Factorise the following by taking out the common factor
9x5y3 + 6x3y2 – 18x2y
