Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
x4y4 - xy
उत्तर
= xy (x3 y3 -1)
= xy (( xy )3 -13 )
= xy ( xy -1)(( xy)2 + ( xy )1+12 ) [∵ a3 - b3 = (a - b)(a2 + ab + b2 ) ]
= xy (xy -1)(x2 y2 + xy +1)
∴ x4 y4 - xy = xy ( xy -1)(x2 y2 + xy +1)
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Factorize x (x3 - y3 ) + 3xy ( x - y )
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
Find the value of the following expression: 64x2 + 81y2 + 144xy, when x = 11 and \[y = \frac{4}{3}\]
If (x + y)3 − (x − y)3 − 6y(x2 − y2) = ky2, then k =
Multiply: (2x + 5y + 6)(3x + y - 8)
Divide: 4x3 - 2x2 by - x
Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2b
Divide: 35a3 + 3a2b - 2ab2 by 5a - b
Which of the following is correct?
