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 a2 + 2ab + b2 - c2
Factorize 8x2 + y3 +12x2 y + 6xy2
Factorize 8a3 + 27b3 + 36a2b + 54ab2
Factorize 8a3 – 27b3 – 36a2b + 54ab2
If a2 + b2 + c2 = 250 and ab + bc + ca = 3, find a + b + c.
Divide: 25x2y by - 5y2
Divide: 8a2 + 4a - 60 by 2a - 5
3p2 – 5pq + 2q2 + 6pq – q2 + pq is a
The value of 3x2 – 5x + 3 when x = 1 is ______.
Express the following properties with variables x, y and z.
Commutative property of multiplication
