91Ó°ÊÓ

For Problems \(41-46\), perform the operations as described. (Objective 2) Subtract the sum of \(-6 n^{2}+2 n-4\) and \(4 n^{2}-2 n+4\) from \(-n^{2}-n+1\).

For Problems \(1-54\), solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. (Objective 1) $$ x^{4}-9 x^{2}=0 $$

For Problems \(37-58\), raise each monomial to the indicated power. (Objective 2) $$ \left(2 a^{3} b^{2}\right)^{6} $$

For Problems \(45-56\), use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. (Objective 2) $$ a^{3}-27 $$

For Problems \(1-74\), find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. (Objectives 1-4) $$ (5 x-7)^{2} $$

For Problems \(25-50\), factor completely. $$ x(y-1)+5(y-1) $$

For Problems \(1-74\), find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. (Objectives 1-4) $$ (6 x+7)(3 x-10) $$

For Problems \(45-56\), use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. (Objective 2) $$ x^{3}+1 $$

For Problems \(37-58\), raise each monomial to the indicated power. (Objective 2) $$ \left(9 x y^{4}\right)^{2} $$

For Problems \(47-56\), perform the indicated operations. $$ (5 x+2)+(7 x-1)+(-4 x-3) $$