SOLUTION: Factor the given expression. Express your answer so that only positive exponents occur. 6(6x + 1)^(1/3)(4x - 3)^(3/2) + 6(6x + 1)^(4/3)(4x - 3)^(1/2), where x is greater than

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the given expression. Express your answer so that only positive exponents occur. 6(6x + 1)^(1/3)(4x - 3)^(3/2) + 6(6x + 1)^(4/3)(4x - 3)^(1/2), where x is greater than       Log On


   

Question 1208447: Factor the given expression. Express your answer so that only positive exponents occur.

6(6x + 1)^(1/3)(4x - 3)^(3/2) + 6(6x + 1)^(4/3)(4x - 3)^(1/2), where x is greater than or equal to 3/4
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!



let a = matrix%282%2C1%2C%22%22%2C%286x+%2B+1%29%5E%281%2F3%29%29
let b = matrix%282%2C1%2C%22%22%2C%284x+-+3%29%5E%281%2F2%29%29

6ab%5E3%2B6a%5E4b

6ab%28b%5E2%2Ba%5E3%29











You can leave it like that, or change the fraction powers to roots.



You could even express the product of roots as a 6th root, but the
polynomial under the 6th root radical would make it too complicated.
So let's quit here.

Edwin