Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
`x^3/216 - 8y^3`
Advertisements
उत्तर
`= (x/6)^3 - (2y)^3`
`= (x/6 - 2y)((x/6)^2 + x/6 xx 2y + (2y)^2) [∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
`∴ x^3/216 - 8y^3 = (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`
APPEARS IN
संबंधित प्रश्न
Factorize x3 -12x ( x - 4) - 64
What must be added to the following expression to make it a whole square?
4x2 − 20x + 20
Evaluate: (3c - 5d)(4c - 6d)
Multiply: (2x - 3y)(2x + 3y)
Multiply: (2x + 3y)(2x - 3y)
Write the variables, constant and terms of the following expression
29x + 13y
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ______ more toffees.
A taxi service charges ₹ 8 per km and levies a fixed charge of ₹ 50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.
