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
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize: `a^2 x^2 + (ax^2 + 1)x + a`
Factorize the following expressions:
y3 +125
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
Multiply: (2x + 3y)(2x - 3y)
Multiply: (x - a)(x + 3b)
Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2)
Divide: 8a2 + 4a - 60 by 2a - 5
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for ₹ 15 each day. Ravi solved the same problem by multiplying. They both got the correct answer. How is this possible?
