Simplify the following rational expressions. 1. x+ x+ m+n, m-n m-n' m+n m-n m+n 2. m+n m-n 3. [( *: 2x*+3x3-12x² ] 2x3-3x2 1 2 1+6x 4x2-12x+9 2x+3 4x2-9, 4x2-9 x2

Divide 10x2+x122x and explain with words how you get each term of the quotient.

The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and sides of height y feet. Find the cost of producing a box with x=5 feet and y=8 feet.

Use synthetic division to find the quotient and remainder when 3x3+10x2+6x2 is divided by x+2 .

Simplify the complex rational expression by using the LCD: 4yy+5+2y+63yy2+11y+30 .

If Pete can paint a wall in p hours, then in one hour he can paint 1p of the wall. It would take Penelope 3 hours longer than Pete to paint the wall, so in one hour she can paint 1p+3 of the wall. Add the rational expressions 1p+1p+3 to get an expression for the part of the wall Pete and Penelope would paint in one hour if they worked together.

For the polynomial 8y43y2+1a. Is it a monomial binomial, or trinomial? b. What is its degree?

Identify the rational expression that is equivalent to Select one: 6x +4x² 3x² - 12x O b. 3x+2 1-6x D.C. 3+2x X-6 d. 9x+6x² 3x² 12x Clear my choice 3x + 2x² 2 x² - 6x

Add the following rational expressions. 6х- 10 6- 7x x2 + 2x - 8 x² + 2x - 8 6х- 10 6- 7x + (Simplify your answer.) x2 + 2x - 8 x +2x-8

Add the following rational expressions. 4x-9 4 - 5x x + 3x - 10 x + 3x - 10 4х - 9 4 - 5x (Simplify your answer.) x + 3x - 10 x + 3x- 10