91Ó°ÊÓ

For Problems \(47-56\), perform the indicated operations. $$ \left(6 n^{2}-4\right)-\left(5 n^{2}+9\right)-(6 n+4) $$

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) $$ (x+6)\left(2 x^{2}-x-7\right) $$

For Problems \(57-70\), simplify by removing the inner parentheses first and working outward. (Objective 3) $$ 3 x-[5 x-(x+6)] $$

For Problems \(57-70\), find all real number solutions for each equation. (Objective 3) $$ x^{2}-25=0 $$

For Problems \(37-58\), raise each monomial to the indicated power. (Objective 2) $$ \left(-x y^{4} z^{2}\right)^{7} $$

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) $$ (2 x-3)\left(x^{2}+6 x+10\right) $$

For Problems \(57-62\), factor completely each of the perfectsquare trinomials. (Objective 3 ) $$ y^{2}-16 y+64 $$

Find two integers whose product is 105 such that one of the integers is one more than twice the other integer.

For Problems \(51-68\), factor by grouping. $$ 2 a x+2 x+a y+y $$

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) $$ (3 x+4)\left(2 x^{2}-2 x-6\right) $$