Rational Expressions

Factoring Binomials

100

Factor 6x+12

6(x+2)

200

Factor 15a-20

5(3a-4)

300

Factor 8x²-12x

4x(2x-3)

400

Factor 9m³-6m²

3m²(3m-2)

500

Factor 12x⁴y-18x³

6x³(2xy-3)

Factoring Quadratics

100

Factor x²+7x+10

(x+5)(x+2)

200

Factor x²-x-12

(x-4)(x+3)

300

Factor x²+16+64

(x+8)(x+8)

400

x²-6x+8

(x-4)(x+3)

500

Factor x²+3x-28

(x+7)(x-4)

Difference of Squares

100

Factor x²-9

(x-3)(x+3)

200

Factor x²-16

(x-4)(x+4)

300

Factor x²-64

(x-8)(x+8)

400

Factor x²-36

(x-6)(x+6)

500

Factor x²-100

(x+10)(x-10)

Simplifying Rational Expressions

100

Find the excluded values(x+2)(x-7)/(x-7)(x+1)

x cannot equal 7, -1

200

Find the excluded values

(x-3)(x+4)/x(x-5)

x cannot equal 0, 5

300

x²+7x+10/x²+2x-15

x+2/x-3

400

x²+3x-28/x²-49

x-4/x+7

500

x²-16/x²-4x

x+4/x

Multiplying Rational Expressions

100

(x²-9/x)(x/x-3)

x+3

200

(3x/x²-4)(x+2/5)

3x/5(x-2)

300

(x²-25/x²-4)(x/x+5)

x-5/x-4

400

(5x²+40x/3)(9/x²+16+64)

15x/x+8

500

(x+8/x²-x-12)(x²-6x+8/x²+6x-16)

1/x+3