91Ó°ÊÓ

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

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

The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimensions of the square and the rectangle.

For Problems \(59-74\), find each quotient $$ \frac{-54 a b^{2} c^{3}}{-6 a b c} $$

For Problems \(57-70\), simplify by removing the inner parentheses first and working outward. (Objective 3) $$ \left[4 t^{2}-(2 t+1)+3\right]-\left[3 t^{2}+(2 t-1)-5\right] $$

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) $$ 2 t^{2}-8 $$

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

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) $$ 14 w^{2}-29 w-15 $$

The Ortegas have an apple orchard that contains 90 trees. The number of trees in each row is 3 more than twice the number of rows. Find the number of rows and the number of trees per row.

For Problems \(57-70\), find all real number solutions for each equation. (Objective 3) $$ 4 x^{3}=64 x $$