Exponent Rules & Simplifying
Factoring
squares and cubes
Rational Expressions & Complex Fractions
100

(5w^-4v^-6/15x^3)^-3

27x^9w^12v^18/125

100

5a^2x+10a^2y-3bx-6by

(x+2y)(5a^2-3b)

100

x^2-16

(x+4)(x-4)

100

((x^2+6x+2)/(x^2+x6))-((2x-1)/x^2+x6)

x+1/x-2

200

(3s^7t^-5)^2(4s^0t)

36s^14t^-9

200

6a^2b-50ab-36b

2b(3a+2)(a-9)

200

9x^2-25y^2

(3x+5y)(3x-5y)

200
(2y+9/y^2-7y+12)+(2/y-3)

4/y-4

300

6m^-3n^4/12m^3n^-2

n^6/2m^6

300

20ax-36bx-35ay+63by

(5x-7y)(4a-9b)

300

8x^3+27

(2X+3)(4x^2-6x+9)

300

A 7-inch by 12-inch painting is surrounded by a frame of uniform width x. If the combined area is 176 square inches, this is the width of the frame.


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