LCD Rational Expressions

1

100

3/n + 1/2n

LCD = 2n

6/2n + 1/2n

200

3/4x  -  5/10x²

LCD = 20x²

15x/(20x²)  -  2/(20x²)

300

1/(5a³)  +  2/(15a²)

LCD = 15a³

3/(15a³)  +  2a/(15a³)

400

1/3x²y  +  3/4xy³

LCD = 12x²y³

500

(5p-1)/6p²q³r  -   (4r+3)/8pq²r⁴

LCD = 24p²q³r⁴

2

100

4/3  +  3/(x+2)

3(x+2)

4(x+2)+9 / (3(x+2))

200

5/2 + 5/(x+4)

LCD = 2(x+4)

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

300

1/(3x-6)  + 1/(x-2)

LCD = 3(x-2)

400

3x/(4x²-12x)  +  2x²/(x-3)

LCD = 4x(x-3)

500

4x/(6x²+18x)  -   x²/(9x²+27x)

LCD = 18x(x+3)

3

100

27/(14s+70) - 13/(10s+50)

LCD = 70(s+5)

135/(70(s+5)) - 91/(70(s+5))

200

6/(7y²+7y)  -  3/(121y)

LCD = 847y(y+1)

726/(847y(y+1)) - 21(y+1)/(847y(y+1))

300

2/(x²-4x)  -  3/(4x-x²)

LCD = x(x-4)

400

2/(6x²+15x)  -  x/(3x²+6x)

LCD = 3x(2x+5)(x+2)

500

1/(4x³+12x²)  +  1/(6x²+18x)

LCD = 12x(x+3)

4

100

1/(x+3)  -  2/(x²-9)

LCD = (x-3)(x+3)

 

200

3/(x²-x)  + 4/(x²-1)

LCD = x (x-1) (x+1)

300

1/(x²-4x+3)  -  2/(x²-9)

LCD = (x-3)(x-1)(x+3)

400

5/(4x²-4)  + 3x/(x+1)²

LCD = 4(x-1)(x+1)²

500

4x²/(x⁴-16)  + (x-1)/(x+2)

LCD = (x²+4)(x-2)(x+2)

5

100

7x²/(x²-9x+8)  + (x-5)

LCD = (x-8)(x-1)

7x²/LCD + (x-5)(x-8)(x-1)/LCD

200

(x-11)/(x²-4x-12)  +  6/(x²-x-6)

LCD = (x-6)(x-3)(x+2)

(x-11)(x-3)/LCD + 6(x-6)/LCD

300

2/(x²+5x+6)  +  (3x+2)/(x²-x-6)

LCD = (x+2)(x+3)(x-3)

400

2x/(18x²-3x-5)  -  (5x-2)/(6x²+11x+3)

LCD = (3x+1)(2x+3)(6x-5)

500

3x²/(10x²+7x-6)  +  (2x²-5)/(8x²+2x-3)

LCD = (4x-1)(2x+3)(5x-2)