Question

How do you combine `\frac { 6x ^ { 8} } { 4x ^ { 2} y - 12x y } + \frac { 3x ^ { 2} + 12x } { x ^ { 2} + x - 12}` into one term?

Answer 1

`" The Exp.="{3x(x^6+2y)}/{2y(x-3)}.`

Explanation:

`"The Expression="(6x^8)/(4x^2y-12xy)+(3x^2+12x)/(x^2+x-12),`

`=(6x^8)/{4xy(x-3)}+{3x(x+4)}/{(x+4)(x-3)},`

`=(3x^7)/{2y(x-3)}+(3x)/(x-3)`

`=(3x^7+3x*2y)/{2y(x-3)},`

`:." The Exp.="{3x(x^6+2y)}/{2y(x-3)}.`