Question

Simplifying 6(x+4)2/3x(x+4)

Answer 1

`(2(x+4))/(x)` or
`2 + (8)/(x)`

Explanation:

Rewrite the problem as a fraction.

`(6(x+4)^2)/(3x(x+4))`

Then, represent the squared term on the top as two values to make it easier to cancel.

`(6(x+4)(x+4))/(3x(x+4))`

Now, cancel an x+4 from the top and bottom.

`(6(x+4))/(3x)`

Finally, divide the numerator and denominator by 3.

`(2(x+4))/(x)` or
`2 + (8)/(x)`

Answer 2

`\bf{(6(x+4)2)/(3x(x+4)) \iff \ Eliminate \ (x+4).}\\ \\ \bf{That\:is, isolating\:the \ common \ factor \ \frac{\\ot{6}*2 }{\\ot{3}x} \ \--\to(2*2)/(x)=(4)/(x) } \\ \\ \boldsymbol{\sf{(4)/(x) }}\bf{\iff}\boxed{\boxed{\bf{Answer}}}`