Solving Rational Equations

Simplify

100

49a³bc⁴➗35ab⁵c

7a²c³➗5b⁴

200

x-3➗x³-27

x²-9

300

2(x+5)➗(x-5)(x-9)

2➗(x-9)

400

32x²y⁵➗8x⁵y

y⁴➗4x³

500

zx⁵y➗zx⁵q

y➗q

Multiply

100

5x³y ❌ y² X³y². 15x²

y²➗3x

200

(x-3)❌(x²-4)/(x²-x-6)

(-3x²-4x+12)/(-4x²-3x+18)

300

(4➗a²)(a➗8)

4a/8a²

400

((a+3)/2)❌((6)/3a+9)

1

500

((x²-4)/(x²-1))❌((x+1)/(x²+2x))

(x³+x²-4x-4)/(x^4+x²x)

Long Division

100

x⁴ -3x³-7x-14÷(x-4)

x³+2x²+4x+23- 106/(x-4)

200

2x³-10x²+x-5÷(x-5)

2x²+1

300

(x²+x-42)÷(x+7)

(x-6)

400

3x⁴-x³+5x-1÷(x+2)

3x³-7x²+14x-23+45/(x+2)

500

(x³+x²-x-2)÷(x+2)

x² - x + 1 - 4/(x+2)

Add and Subtract

100

7/x+5  +  2/x+5

9/x+5

200

Subtract 3x+5/3x²+2x-8 from 4x+7/3x²+2x-8

1/3x-4

300

4/x+3 + 2/x-3

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

400

3/4x + 1/8

6+x/8x

500

Subtract 3/x-5 from 7/x+x

4x-39/(x-5)(x+4)

Solve

100

(x²-64)/(x-8)=5

x=8 ext. x=-3

200

(3/2)+4/(x-1)=(x+1)/(x-1)

x=-3

300

16/x²-16=2/x-4

x=4

400

5/x+2=4/x-2

x=18

500

-4/x+4=-3/x+6

x=12