Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
`8x^2y^3 - x^5`
Advertisements
उत्तर
`=x^2(8y^3 - x^3)`
`= x^2((2y)^3 - x^3)`
`= x^2(2y - x)((2y)^2 + 2y(x) + x^2) [∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= x^2(2y - x)((2y)^2 + 2y(x)+ x^2)` `[∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
`= x^2(2y - x)(4y^2 + 2xy + x^2)`
`∴ 8x^2y^3 - x^5 = x^2(2y - x)(4y^2 + 2xy + x^2)`
APPEARS IN
संबंधित प्रश्न
(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`
If x − y = 7 and xy = 9, find the value of x2 + y2
Write the number of the term of the following polynomial.
ax ÷ 4 – 7
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Divide: 4x3 - 2x2 by - x
Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy
Divide: 6x2 + 5x - 6 by 2x + 3
The value of 3x2 – 5x + 3 when x = 1 is ______.
Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.
