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
Factorize (a - b + c)2 + (b - c + a)2 + 2(a - b + c) (b - c + a)
Factorize 8a3 – 27b3 – 36a2b + 54ab2
(a – 3b)3 + (3b – c)3 + (c – a)3
The factors of x3 − 1 + y3 + 3xy are
Evaluate: (8 - 12x + 7x2 - 6x3)(5 - 2x)
Divide: 12a2 + ax - 6x2 by 3a - 2x
Write the variables, constant and terms of the following expression
29x + 13y
The value of 3x2 – 5x + 3 when x = 1 is ______.
A triangle is made up of 2 red sticks and 1 blue sticks 
. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:
A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?
