Advertisements
Advertisements
Question
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
Advertisements
Solution
`= (sqrt3a)^3 + (-b)^3 + (-sqrt5c)^3 - 3 xx (sqrt3a)(-b)(-sqrt5c)`
`= (sqrt3a + (-b) + (-sqrt5c))((sqrt3a)^2 + (-b)^2 + (-sqrt5c)^2 - sqrt3a(-b)- (-b)(-sqrt5c) - (-sqrt5c)sqrt3a)`
`= (sqrt3a - b - sqrt5c)(3a^2 +b^2 + 5c^2 + sqrt3ab - sqrt5bc + sqrt15ac)`
`∴ 3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc = (sqrt3a - b - sqrt5c)(3a^2 + b^2 + 5c^2 + sqrt3ab - sqrt5bc + sqrt15ac)`
APPEARS IN
RELATED QUESTIONS
Factorize the following expressions:
(a + b)3 – 8(a – b)3
Factorize `8/27 x^3 + 1 + 4/3 x^2 + 2x`
125 + 8x3 - 27 y3 + 90xy
Multiply: x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z
Factorize : x2 − 1 − 2a − a2
The factors of x4 + x2 + 25 are
Multiply: (2x + 3y)(2x - 3y)
Divide: 4x3 - 2x2 by - x
Divide: 12a2 + ax - 6x2 by 3a - 2x
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
