Advertisements
Advertisements
Question
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
Advertisements
Solution
`= (sqrt2a)^3+ (sqrt3b)^3 + c^3 - 3 xx sqrt2a xx sqrt3b xx c`
`=(sqrt2a + sqrt3b + c)((sqrt2a)^2 + (sqrt3b)^2 + c^2 - (sqrt2a)(sqrt3) - (sqrt3b)c - (sqrt2a)c)`
`= (sqrt2 + sqrt3b + c)(2a^2 + 3b^2 + c^2 - sqrt6ab - sqrt3bc - sqrt2ac)`
`∴ 2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3sqrt6abc = (sqrt2a + sqrt3b + c)(2a^2 + 3b^2 + c^2 - sqrt6ab - sqrt3bc - sqrt2ac)`
APPEARS IN
RELATED QUESTIONS
Factorize x3 - 2x2 y + 3xy2 - 6y3
Factorize the following expressions:
x3 + 6x2 +12x +16
8x3 + 27y3 - 216z3 + 108xyz
Multiply: x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
If 3x = a + b + c, then the value of (x − a)3 + (x −b)3 + (x − c)3 − 3(x − a) (x − b) (x −c) is
Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c)
Divide: 10a3 - 15a2b by - 5a2
–b – 0 is equal to ______.
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.
