Factoring

GCF

100

2a+2c+2d+2g

2(a+c+d+g)

200

5x+25

What is 5(x+5)

300

2x²+8x

What is 2x(x+4)

400

4z²+10z³-12z

2z(2z+5z²-6)

500

15x³-10x²+20

What is 5(3x^3-2x^2+4)

Difference of Two Squares

100

a²-144

(a+12)(a-12)

200

x²-49

What is (x+7) (x-7)

300

16x⁶-9

What is (4x³+3) (4x³-3)

400

36x²-49

What is (6x+7) (6x-7)

500

9a⁴-100

What is (3a²+10) (3a²-10)

Perfect Trinomial Square

100

x²+22x+121

(x+11)²

200

x²+12x+36

What is (x+6)²

300

4x²+12x+9

What is (2x+3)²

400

25x²-20x+4

What is (5x-2)²

500

16k²+40k+25

What is (4k+5)²

Create a Trinomial

100

(x+6)²

x²+12x+36

200

(9x-8)²

81x²-144x+64

300

(2x-10)²

4x²-40x+100

400

(7x+3)²

49x²+42x+9

500

(11x+5)²

121x²+110x+25

MIXED

100

(4x+4)(4x-4)

16x²-16

200

2x²+12x+18

2(x+3)²

300

27x²-27

3(3x+3)(3x-3)

400

-12x²y³-144x⁴-60x⁵y²

-12x²(y³+12x²+5x³y²)

500

2(3x+6)²

18x²+72x+72