Rational Expressions

Simplify Rational Expressions

100

Simplify the expression

(16c^2b^4)/(8c^3b)

(2b^3)/(c)

200

Simplify the rational expression

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

x=1/(n+7)

300

Simplify the rational expression

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

(x+5)/(x-2)

400

Simplify the rational expression

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

(y-1)/2

500

Simplify the rational expression

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

5/(d-4)

Multiply Rational Expressions

100

Multiply the rational expressions and simplify 

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

4x

200

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

5n

300

(12c^3)/(21b) xx (14b^2)/(6b)

(4bc^2)/3

400

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

4n

500

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

(y-1)/(y+7)

Divide Rational Expressions

100

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

x^4y

200

(f^4g^2h)/(x^2y) div f^3g

(fgh)/(x^2y)

300

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

(9b^3)/2

400

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

(n+4)/(8n)

500

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

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

Add/Subtract Rational Expressions

100

Add the rational expressions. Simplify if possible.

(7y)/12+(9y)/12

(4y)/3

200

Add the rational expressions. Simplify if possible.

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

1/(x-3)

300

Subtract the rational expressions. Simplify if possible.

(3-2n)/(n(n+2)) - (1-3n)/(n(n+2)

1/n

400

Subtract the rational expressions. Simplify if possible.

c/(c^2+3c-4)-1/(c^2+3c-4)

1/(c+4)

500

Add the rational expressions. Simplify if possible.

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

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