Advertisements
Advertisements
Question
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
Advertisements
Solution
`1/27 x^3 - y^3 + 125z^3 + 5xy`
`= (x/3)^3 + (-y)^3 + (5z)^3 - 3 xx x/3 (-y)(5z)`
`= (x/3 + (-y) + 5z)((x/3)^2 + (-y)^2 + (5z)^2 - x/3 (-y)- (-y)5z - 5z (x/3))`
`= (x/3 - y + 5z)(x^2/9 + y^2 + 25z^2 + (xy)/3 + 5xyz - 5/3 zx)`
`∴ 1/27 x^3 - y^3 + 125z^3 + 5xyz = (x/3 - y + 5z)(x^2/9 + y^2 + 25z^2 + (xy)/3 + 5yz - 5/3 zx)`
APPEARS IN
RELATED QUESTIONS
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize the following expressions:
32a3 + 108b3
If x − y = 7 and xy = 9, find the value of x2 + y2
If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
Find the value of the following expression: 81x2 + 16y2 − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]
Write the number of the term of the following polynomial.
23 + a x b ÷ 2
Divide:
n2 − 2n + 1 by n − 1
Divide: 9x2 - 24xy + 16y2 by 3x- 4y
Divide: x5 - 15x4 - 10x2 by -5x2
Which of the following expressions has the value 37?
