Rational Expressions

Simplify

100

Simplify the rational expression

(n+3)/(n^2+10n+21)

1/(n+7)

200

Simplify the rational expression

(x^2-2x-35)/(x^2-9x+14)

(x+5)/(x-2)

300

Simplify the rational expression

(y^2+9y-10)/(2y+20)

(y-1)/2

400

Simplify the rational expression

(5d+15)/(d^2-d-12)

5/(d-4)

Multiply

100

Multiply the rational expressions and simplify 

(2x^3)/(7x) xx 14/x

4x

200

(10n^2)/4 xx 2/n

5n

300

(n^2+n-2)/(n+2) xx (4n)/(n-1)

4n

400

(y^2-1)/(y^2-49) xx (y-7)/(y+1)

(y-1)/(y+7)

Divide

100

(x^5)/y div x/y^2

x^4y

200

(21b^3)/(4c^2) div (7)/(6c^2)

(9b^3)/2

300

(n^2+7n+12)/(16n^2) div (n+3)/(2n)

(n+4)/(8n)

400

(b+4)/(3b+2) div (3b+12)/(b+1)

(b+1)/((3)(3b+2)

Cross Multiplication

100

Add the rational expressions. Simplify if possible.

(10)/(2)=(n)/(6)

30

200

(n+2)/(8) = (n-1)/(10)

-14

300

5/(n+1)=(n-4)/(10)

9, -6

400

(m+3)/(4)=11/(m-4)

-7,8

Add and Subtract

100

To add or subtract rational expressions, you need a _________ ________.

Common Denominator

200

Find the common denominator of the rational expressions:

(2p)/(p+6) and 2/(3(p-4))

3(p-4)(p+6)

300

4/(3x+3)+3/(3x-6)

(7x-5)/(3(x-2)(x+1))

400

(5)/(x^2-5x)-(x)/(5x-25)

-(x+5)/(5x)