Rational Expressions and Equations 11

Simplifying Polynomial Ratios

100

Simplify.

(x^2 - 81)/(x - 9)

x + 9 

200

Simplify.

(x^2 + 10x + 25)/(x + 5)

x + 5

300

Simplify.

(8x^3 -27)/(2x - 3)

2x^2 + 6x + 9

400

Simplify.

(x^2 - 9x + 14)/(x^2 - 49)

(x-2)/(x+7)

500

Simplify.

(3x^2-21x+36)/(5x^2 - 80)

(3(x-3))/(5(x+4))

State non-permissible values

100

Multiply.

(x+2)/(4x+8) * (5x+60)/(x+12)

x=-2,-12

200

2 - (5x)/(3)

None!

300

Multiply.

(10x^2 +17x+3)/(5x+10) *(x+2)/(x^2-10x +25)

x=-2, 5

400

3/a-(b-6)/(b^2-36)

a=0, b=+-6

500

(x+2)/(5x-2)-: (2x+1)/(3x^2(x+2))

x=2/5,0, -1/2, -2

Dividing/Multiply

100

Divide.

(x-3)/(4x-16)/(5x-15)/(8x-32)

2/5

200

Multiply.

(49x^2 - 4)/(3x^2 -2x -21) * (3x - 9)/(7x-2)

(3(7x+2))/(3x+7)

300

Multiply.

(7x^2 -18x+8)/(x+6) * (3x+10)/(2x -4)

((7x-4)(3x+10))/(2(x+6))

400

Multiply.

(2xy)/(x^2y+3xy)* (x^2 +6x+9)/(4x+12)

1/2

500

Divide.

(x^2-64)/(x^3+6x^2-16x) -:(x^2 -6x -16)/(x^4 - 4x^2)

x

Simplifying (Double!!)

100

Simplify.

(3x+6)/(x-9)/(9x+18)/(7x-63)*(x-1)/(1-x)

-7/3

200

Simplify.

-7/x^2*(x^2 -49)/(7x-49)/(x^2+13x+42)/(x^3+6x^2)

-1

300

Simplify.

(2y^2+20y+50)/(4y-12)*(y-3)/(y^2+12y+35)/3y+15

1/(6(y+7))

400

Simplify.

(2x^3y)/(x^2y+3xy)*(x^2+6x+9)/(2x+6)/5xy^4

x/(5y^4)

500

Simplify.

(x^2 +12x+27)/(x^2+6x - 7)/(x^2+16x+63)/(x^2 -13x+12)/(x^2 - 9x - 36)/(2x^2+19x+35)

(2x+5)/(x+7)

Add./Sub. Rational Expressions

100

Add.

4/(5v^2x)+3/(4v^3x^2)

(16vx+15)/(20v^3x^2)

200

Add.

(x+4)/(x+2)+(4x-2)/(5x+10)

(9)/(5)

300

Subtract.

(3x)/(x-5)-(3x-6)/(2x-10)

(3(x+2))/(2(x-5))

400

Add.

(3w)/(w-4)+(2w+4)/(4-w)

1

500

Add.

(-10)/(7m^4n)+29/(m^7n^3)+1

(-10m^3n^2+203+7m^7n^3)/(7m^7n^3)