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Simplifying Rational Expressions
Multiply & Divide Rational Functions
Add & Subtract Rational Functions
100

Simplify the rational expression. 

(x^2+5x-14)/(x^2-4x+4)

(x+7)/(x-2)

100

Multiply and simplify. 

(80x^4)/(y^3) *(xy)/(5x^2)

(16x^3)/y^2

100

Subtract the expressions and simplify.

3/(4x) - 1/7

(21-4x)/(28x)

200

Simplify the rational expression.

(x^2-9x+14)/(x^2-5x-14)

(x-2)/(x+2)

200

Multiply and simplify:

(6x^2-18x)/(x^2-10x+21) * (x^2-14x+49)/(3x^2)

(2(x-7))/x

200

Add the expressions and simplify. 

12/(5x)+7/(6x)

107/(30x)

300

Simplify the rational expression. 

(x^2-36)/(x^2+12x+36)

(x-6)/(x+6)

300

Divide and simplify. 

(5x^2y^3)/(x^7) div (30xy^4)/(y^3)

y^2/(6x^6)

300

Find the Least Common Multiple (LCM): 

10x^2-15x

5x^3

5x^2(2x-3)

400

Simplify the rational expression. 

(2x^2+2x-4)/(x^2-5x-14)

(2(x-1))/(x-7)

400

Multiply and simplify.

(x-3)/(2x-8) * (6x^2-96)/(x^2-9)

(3(x+4))/(x+3)

400

Add the expressions and simplify. 

x/(x^2-x-12) + 5/(12x-48)

(17x+15)/(12(x-4)(x+3)

500

Simplify the rational expression.

(8x^2+10x-3)/(6x^2+13x+6)

 

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

500

Divide and simplify.

(3x+27)/(6x-48) div (x^2+9x)/(x^2-4x-32)

(x+4)/(2x)

500

Subtract the expressions and simplify.

(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)

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