91Ó°ÊÓ

For Problems \(57-70\), simplify by removing the inner parentheses first and working outward. (Objective 3) $$ [7 x y-(2 x-3 x y+y)]-[3 x-(x-10 x y-y)] $$

Problems \(63-100\) should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. (Objective 4) $$ 18 n^{3}+39 n^{2}-15 n $$

For Problems \(57-70\), simplify by removing the inner parentheses first and working outward. (Objective 3) $$ [9 x y-(4 x+x y-y)]-[4 y-(2 x-x y+6 y)] $$

For Problems \(57-70\), find all real number solutions for each equation. (Objective 3) $$ x^{5}-x=0 $$

Problems \(63-100\) should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. (Objective 4) $$ n^{2}+18 n+77 $$

The lengths of the three sides of a right triangle are represented by consecutive even whole numbers. Find the lengths of the three sides.

For Problems \(59-74\), find each quotient $$ \frac{-a^{4} b^{5} c}{a^{2} b^{4} c} $$

For Problems \(51-68\), factor by grouping. $$ 3 x^{2}+18 x-2 x-12 $$

Problems \(63-100\) should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. (Objective 4) $$ n^{2}-17 n+60 $$

For Problems \(69-84\), solve each of the equations. $$ x^{2}+7 x=0 $$