Greatest Common Factor
Product and Sums
Factoring Completely
Difference of Squares
Perfect Square Trinomials
100
Factor the greatest common factor.
6x^2+9xy
3x(2x+3y)
100
Write the sum as a product.
(x+3)(x+4)
100
Factor Completely.
7k^2+9k
k(7k+9)
100
Factor Completely.
x^2-100
(x-10)(x+10)
100
Factor.
x^2+2x+1
(x+1)^2
200
Factor the greatest common factor.
5k^2-40k+10
5(k^2-8k+2)
200
Write as a sum.
-2x^2-5x+3
200
Factor Completely.
x^2-7x-18
(x-9)(x+2)
200
Factor Completely.
n^4-49
(n^2+7)(n^2-7)
200
Factor.
x^2-6x+9
(x-3)^2
300
Factor the Greatest Common Factor.
63m^6-49m^5-21m
7m(9m^5-7m^4-3)
300
Factor and write as a product.
x^2+7x-30
(x-3)(x+10)
300
Factor Completely.
2b^2+17b+21
(2b+3)(b+7)
300
Factor completely.
98n^2-200
2(7n+10)(7n-10)
300
Factor.
2a^2-32a+128
2(a-8)^2
400
Factor the Greatest Common Factor.
-72a^7-36a^6+72a^3-36a
36a(-2a^6-a^5+2a^2-1)
400
Write as a sum.
(3x+1)(x+1)
3x^2+4x+1
400
Factor completely.
3b^3-5b^2+2b
b(3b-2)(b-1)
400
Factor completely.
400-36v^2
4(10+3v)(10-3v)
400
Factor.
50k^2-160k+128
2(5k-8)^2
500
Factor the Greatest Common Factor.
-24a^2b^2+36ab-60a
12a(-2ab^2+3b-5)
500
Factor and write as a product.
2x^2+5x+3
(x + 1)(2x+3)
500
Factor Completely.
30n^2b-87nb+30b
3b(2n-5)(5n-2)
500
Factor completely.
81v^4-900v^2
9v^2(3v+10)(3v-10)
500
Factor.
45w^2-240wm+320m^2
5(3w-8m)^2