Question

How do you simplify `\frac { \frac { 8} { w - 1} - \frac { 3} { w + 4} } { \frac { 7} { w + 4} - \frac { 2} { w - 1} }`?

Answer 1

Taken to to a point where you should be able to finish the calculations.

Explanation:

Lets split this into two parts:

Part 1: `8/(w-1)-3/(w+4)`

Part 2: `" "-:(7/(w+4)-2/(w-1))` Note the 'divide by'
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Consider part 1:

Write as `(8(w+4)-3(w-1))/((w-1)(x+4))" "........Expression(1)`

Consider part 2:

Write as `-:( (7(w-1)-2(w+4))/((w-1)(w+4)))" "....Expression(2)`

Combining expression(1) and expression(2) we have:

`(8(w+4)-3(w-1))/(cancel((w-1)(x+4)))xx(cancel ((w-1)(w+4)))/(7(w-1)-2(w+4))`

`(8w+32-3w+1)/(7w-7-2w-8)`

`color(blue)("You should be able to take over from this point")`