Originally Posted by

**desiderius1** Factor the expression. Express your answer so that only positive exponents occur.

$\displaystyle

4(6x+3)^{(1/2)}(5x+1)^{(11/7)} + 3(6x+3)^{(3/2)}(5x+1)^{(4/7)} \qquad x>= -\frac{1}{2}

$

The answer:

$\displaystyle

(6x+3)^{(1/2)}(5x+1)^{(4/7)}(38x+13)

$

so far I've done:

$\displaystyle

\textcolor{red}{(24x+12)^{(1/2)}}(5x+1)^{(11/7)}+\textcolor{red}{(18x+9)^{(3/2)}}(5x+1)^{(4/7)}

$

these two factors are incorrect ... you cannot distribute the constants into factors w/ exponents not equal to 1.