Advertisements
Advertisements
प्रश्न
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
Advertisements
उत्तर
`= (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
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operation.
Subtraction of z from y
Factorize `x^2 - sqrt3x - 6`
Factorize `2x^2 + 3sqrt5x + 5`
Factorize the following expressions:
p3 + 27
Factorize the following expressions:
x3 + 6x2 +12x +16
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Multiply: (2x + 3y)(2x + 3y)
Divide: - 50 + 40p by 10p
Express the following as an algebraic expression:
Sum of p and 2r – s minus sum of a and 3n + 4x.
The total number of planets of Sun can be denoted by the variable n.
