Rational Expressions

Simplifying Rational Expressions

100

(5b-10)/(b-2)

5

200

(35x+42)/(14-35)

(5x+6)/(2x-5)

300

(r^2-2r-63)/(r^2+4r-21)

(r-9)/(r-3)

400

(k^2+6k+9)/(4k+12)

(k+3)/4

500

(3x^2-18x+15)/(20x+21x^2-5x^3)

(-3(x-1))/(x(4+5x)

Adding Rational Expressions

100

(x+3y)/(8x^2y^2)+(x-2y)/(8x^2y^2)

(2x+y)/(8x^2y^2)

200

7/3+7/(4x-8)

(28x-35)/(12(x-2)

300

2/(7n+4)+2/4

(8+7n)/(2(7n+4)

400

3/(n-7)+8/(n+1)

(11n-53)/((n-7)(n+1))

500

(6b)/(6+1)+3/(b+6)

(3(2b^2+13b+1))/((b+6)(6+1))

Subtracting Rational Expressions

100

(x-3y)/(12xy^3)-(x-5y)/(12xy^3)

1/(6xy^3)

200

(a+2b)/(24a^2)-(a+5b)/(24a^2)

-(b)/(8a^2)

300

(4x)/(12x-12)-4/3

(-3x+4)/(3(x-1))

400

What is the deepest a human has gone in the ocean?

10,927 meters.

500

(8r)/(7r+42)-3/(r+3)

(8r^2+3r-126)/(7(r+6)(r+3))

Multiplying Rational Expressions

100

What is the largest species of Tarantula.  

Goliath Bird Eating Tarantula. 

200

(10x)/6*(6x)/14

(5x^2)/7

300

(6m^2)/8*(18m)/20

(27m^3)/40

400

(20a^2-4a)/(30a^3-6a^2)*(6a^2)/(8a)

1/2

500

(5n+5)/(45n^3-9n^2)*(10n^2-2n)/(10n+10)

1/(9n)

Dividing Rational Expressions

100

9/(5k^2)/(2k^4)/(2k)

9/(5k^5)

200

1/(k-1)/(k+3)/(4k^2+12k)

(4k)/(k-1)

300

5/(20x)/(15x)/7

7/(60x^2)

400

(6n^2+12n)/(21n^2-18n)/(2n^2+10n+12)/(14n-12

2/(n+3)

500

(35x^+48x+16)/(5x+4)/(21x^2+75x+36)/(30x+90)

r