Adding and Sub
Multiplying
Factor
Special Cases
Solve
100
(x + 2)+(x - 4)
2x - 2
100
x(5x - 2)
5x^2 - 2x
100
10x + 25
5(2x + 5)
100
x^2 - 16
(x + 4)(x - 4)
100
9x^2 + 24x + 16 = 0
(3x + 4)^2 = 0; x = -4/3
200
(3x^2 - 4x + 3) - (-2x^2 + 6x - 7)
5x^2 -10x + 10
200
-2xy(5x - 3x^2y + y^3)
-10x^2y + 6x^3y^2 - 2xy^4
200
8x^3y^5 - 12x^2y^6 + 36xy^3
4xy^3(2x^2y^2 - 3xy^3 + 9)
200
4x^2 - 36xy + 81y^2
(2x - 9y)^2
200
7x^2 = 14x
7x(x - 2) = 0; x = 0 and x = 2
300
(5x^3 + x - 7) + (3x^2 - 7x + 10)
5x^3 + 3x^2 - 6x + 3
300
(x - 3)(x + 5)
x^2 + 2x - 15
300
x^2 - 6x + 8
(x - 4)(x - 2)
300
x^2 + 9
Prime
300
3x^2 - 12 = -5x
(x + 3)(3x - 4) = 0; x = -3 and x = 4/3
400
(2x + 3) - (4x + 5) + (8x + 10)
6x + 8
400
(5x - 6)(-2x + 3)
-10x^2 + 27x - 18
400
12x^2 + 46x + 30
2(6x + 5)(x + 3)
400
18x^2 - 50
2(3x + 5)(3x - 5)
400
121x^2 - 16 = 0
(11x + 4)(11 - 4) = 0; x = -4/11 and x = 4/11
500
Daily Double!! (5x^2 + 3x + 1) - (3x^2 - 8x - 3) - (10x^2 - 5x + 2)
-8x^2 + 16x + 2
500
(x^2 - 3x + 2)(2x + 3)
2x^3 - 3x^2 - 5x + 6
500
60x^2y + 108xy - 24y
4y(5x - 1)(3x + 6)
500
Daily Double (x^8 - 1)
(x^4 + 1)(x^2 + 1)(x + 1)(x - 1)
500
x^4 + 5x^3 + 6x^2 = 0
x^2(x + 2)(x + 3) = 0; x = 0 and x = -2 and x = -3
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