Make the given changes in the indicated examples of this section and then solve the resulting problems.

In Example 7, change the numerator x + 2 of the divisor to x + 3 and then simplify.

Data from Example 7

Note the use of Eq.(6.10) when the factor (2 − x) was replaced by −(x − 2) to get the first form of the answer. As shown, it can also be used to get the alternate form of the answer, although it is not necessary to give this form.

4 - x x - 3x + 2 x + 2 x 9 = = 4 - x x2 3x + 2 - X (x invert x - 9 x + 2 3)(x + 3) -(x-2)(x+2)(x 3)(x + 3) - (x-2)(x - 1)(x+2) = or (2-x)(2 + x)(x - 3)(x + 3) (x-2)(x - 1)(x + 2) (x) 3)(x + 3) factor and indicate multiplications replace (2-x) with - (x - 2) and (2 + x) with (x + 2) simplify