Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
x4y4 - xy
Advertisements
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)
APPEARS IN
संबंधित प्रश्न
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
8x3 + 27y3 - 216z3 + 108xyz
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.
The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are
Divide: 25x2y by - 5y2
Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2b
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
Which of the following is correct?
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
