Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: startfraction 2 over x squared minus 36 endfraction minus startfraction 1 over x squared 6 x endfraction = startfraction 2 over (x 6) (x minus 6) endfraction minus startfraction 1 over x (x a) endfraction. = startfraction b x over (x 6) (x minus 6) x endfraction minus startfraction x minus c over (x 6) (x minus 6) x endfraction. = startfraction d x minus x e over (x 6) (x minus 6) x endfraction. = startfraction x f over (x 6) (x minus 6) x endfraction. = startfraction g over x (x minus 6) endfraction a = b = c = d = e = f = g =

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The values for the highlighted variables that show how to subtract the rational expressions correctly are a = 6, x^2 + 6x is equal to x(x+6), and b=2.

How to explain rational expressions?

From the informaation, the denominator and numerator of the first term are multiplied by x.

The second term is multiplied by (x-6)/(x-6).

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term. In the same way as d is carried over from b, e is carried over from c.

We factor out the (x+6) from the numerator and denominator.

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