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
Find the common factors of the terms.
10pq, 20qr, 30rp
Factorise the following expression:
7x − 42
Factorise the following expression:
6p − 12q
Factorise.
x2 + xy + 8x + 8y
Factorise.
z − 7 + 7xy − xyz
Factorize the following:
72x6y7 − 96x7y6
Factorize the following:
2a4b4 − 3a3b5 + 4a2b5
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
a4b − 3a2b2 − 6ab3
Factorize the following:
16m − 4m2
Factorize the following:
ax2y + bxy2 + cxyz
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise : (a2 - 3a) (a2 - 3a + 7) + 10
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 9x 2 + 3x - 8y - 64y2
Find the value of : ( 67.8 )2 - ( 32.2 )2
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
factorise : 8(2a + 3b)3 - 12(2a + 3b)2
factorise : (ax + by)2 + (bx - ay)2
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
