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.
16x3, −4x2, 32x
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise.
15xy − 6x + 5y − 2
Factorise.
ax + bx − ay − by
Factorise.
15pq + 15 + 9q + 25p
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
a4b − 3a2b2 − 6ab3
Factories by taking out common factors :
ab(a2 + b2 - c2) - bc(c2 - a2 - b2) + ca(a2 + b2 - c2)
Factorise:
(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : a3 - a2 +a
Factorise : 6x2y + 9xy2 + 4y3
Factorise : (x + y)(a + b) + (x - y)(a + b)
Factorise : 2b (2a + b) - 3c (2a + b)
Factorise : 12abc - 6a2b2c2 + 3a3b3c3
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
factorise : (ax + by)2 + (bx - ay)2
Factorise the following by taking out the common factors:
4x2y3 - 6x3y2 - 12xy2
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:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)
Factorise the following by taking out the common factor
18xy – 12yz
