Exercise 4.5

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{3p^2 − 3pq − 18q^2}{p^2 + 3pq − 10q^2}\)

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{n^3 − 3n^2m + 3nm^2 − m^3}{5m^2 − 10mn + 5m^2}\)

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{w^3 − v^3 + x^3 + 3wvx}{w^2 + v^2 + x^2 − 2wv − 2vx − 2wx }\)

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{4y^2 − 20yz + 25z^2}{25z^2 − 4y^2}\)

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{(x^2 + x − 6)(x^2 − 7x + 12)}{(x^2 − 6x + 8)(x^2 − 9)}\)

Simplify the following rational expressions assuming that the expressions in the denominators are not equal to zero: \(\frac{p^4 − 16 }{p^2 − 4p + 4}\)