Advertisements
Advertisements
Question
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`
Advertisements
Solution
`= (sqrt2a)^3 + (2sqrt2b)^3 + c^3 - 3 xx sqrt2a xx 2sqrt2b xx c`
`= (sqrt2a _ 2sqrt2b + c)((sqrt2a)^2 + (2sqrt2b)^2 + c^2 - (sqrt2a)(2sqrt2b) - (2sqrt2b)c - (sqrt2a)c)`
`= (sqrt2a + 2sqrtb + c)(2a^2 + 8b^2 + c^2 - 4ab - 2sqrt2bc - sqrt2ac)`
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc = (sqrt2a + 2sqrt2b + c)(2a^2 + 8b^2 + c^2 - 4ab - 2sqrt2bc - sqrt2ac)`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-fourth of the product of numbers p and q.
Factorize the following expressions:
32a3 + 108b3
Factorize a3 – 3a2b + 3ab2 – b3 + 8
Factorize 8a3 + 27b3 + 36a2b + 54ab2
If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 +c2.
(x + y)3 − (x − y)3 can be factorized as
Multiply: (2x + 5y + 6)(3x + y - 8)
Divide:
n2 − 2n + 1 by n − 1
Divide: 10x3y - 9xy2 - 4x2y2 by xy
If x = 2 and y = 3, then find the value of the following expressions
4y – x
