Advertisements
Advertisements
प्रश्न
Factorise : `x^2 + 1/x^2 - 3`
Advertisements
उत्तर
`x^2 + 1/x^2 - 3 `
= `x^2 + 1/x^2 - 2 xx x xx 1/x - 1`
= `( x - 1/x )^2 - 1`
= `( x - 1/x )^2 - (1)^2`
= `( x - 1/x - 1 )( x - 1/x + 1 )` [ ∵ a2 - b2 = ( a + b )( a - b )]
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
16x3, −4x2, 32x
Find the common factors of the terms.
10pq, 20qr, 30rp
Find the common factors of the terms.
3x2y3, 10x3y2, 6x2y2z
Factorise the following expression:
7a2 + 14a
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise the following expression:
ax2y + bxy2 + cxyz
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
72x6y7 − 96x7y6
Factorize the following:
2a4b4 − 3a3b5 + 4a2b5
Factorize the following:
9x2y + 3axy
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factorise : 4x4 + 9y4 + 11x2y2
Factorise:
(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise : 2√3x2 + x - 5√3
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Factorise : a3 - a2 +a
Factorise : 2x3b2 - 4x5b4
Factorise : 3x5y - 27x4y2 + 12x3y3
Factorise : 12abc - 6a2b2c2 + 3a3b3c3
factorise : 35a3b2c + 42ab2c2
Factorise:
a2 – ab(1 – b) – b3
factorise : xy2 + (x - 1) y - 1
factorise : m - 1 - (m-1)2 + am - a
Factorise: x4 - 5x2 - 36
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)
