Advertisements
Advertisements
प्रश्न
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Advertisements
उत्तर
`1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
=`1/4 [ ( a + b )^2 - 9/4( 2a - b )^2 ]`
=`1/4 [ ( a + b )^2 - [3/2( 2a - b )^2] ]`
=`1/4 [( a + b + 3/2(2a - b))( a + b - 3/2( 2a - b ))]`
=`1/4[( a + b + 3a - (3b)/2)( a + b - 3a + (3b)/2 )]`
= `1/4[( 4a - b/2 )( (5b)/2 - 2a )]`
= `1/4[(( 8a - b )/2)([ 5b - 4a ]/2)]`
= `1/4[ 1/4( 8a - b )( 5b - 4a )]`
= `1/16 ( 8a - b )( 5b - 4a )`
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
12x, 36
Find the common factors of the terms.
16x3, −4x2, 32x
Find the common factors of the terms.
10pq, 20qr, 30rp
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise.
15xy − 6x + 5y − 2
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
2x3y2 − 4x2y3 + 8xy4
Factorize the following:
2a4b4 − 3a3b5 + 4a2b5
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
x4y2 − x2y4 − x4y4
Factorize the following:
ax2y + bxy2 + cxyz
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 : 4x4 + 9y4 + 11x2y2
Factorise : 15x + 5
Factorise : 2x3b2 - 4x5b4
Factorise : 17a6b8 - 34a4b6 + 51a2b4
Factorise : x2(a-b)-y2 (a-b)+z2(a-b)
Factorise : (x + y)(a + b) + (x - y)(a + b)
Factorise : 2b (2a + b) - 3c (2a + b)
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
factorise : 6x3 - 8x2
factorise : 35a3b2c + 42ab2c2
Factorise: a4 - 625
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2
Factorise:
x4 + y4 - 6x2y2
