Distributive Property

Simple distribution

100

 3(5 + 7) 

3 * 5 + 3 * 7 = 15 + 21 = 36 

200

8(x + 6)

 8 * x + 8 * 6 = 8x + 48 

300

4(3 + y)

 4 * 3 + 4 * y = 12 + 4y 

400

(9 - 2)7

7 * 9 - 7 * 2 = 63 - 14 = 49 

500

a(b+c)

ab+ac

Binomial distribution

100

(x + 3)(x + 5)

x² + 8x + 15

200

(x + 2)(x + 7)

x² + 9x + 14

300

(2x + 6)(x + 4)

2x² + 14x + 24

400

(9 + x)(3 + x)

x² + 12x + 27

500

(a+b)(c+d)

ac+ad+bc+bd

Difference of squares

100

(x + 5)(x - 5)

x² - 5² or x² - 25

200

(2x + 3)(2x - 3)

4x² - 9 

300

(7 - x)(7 + x)

7² - x²

400

10² - v² = ?

(10 + v)(10 - v)

500

a² - b² = ?

(a + b)(a - b)