Factor the expression Express your answer so that only posit

Factor the expression. Express your answer so that only positive exponents occur. 5(x^2 + 4)6/5 + x middot 3(x^2 + 4)^1/5 middot 4x 5(x^2 + 4)6/5 + x middot 3(x^2 + 4)^1/5 middot 4x = (Simplify your answer. Use positive exponents only. Type your answer in factored form.)

Solution

5(x^2 +4)^6/5 + x*3(x^2 +4)^1/5*4x

Taking out (x^2 +4) as common

(x^2 +4)^1/5[ 5x^2 + 20 + 3x*4x ]

(x^2 +4)^1/5[ 5x^2 +20 + 12x^2]

(x^2 +4)^1/5(17x^2 + 20)