Distributive Law & Multiplying Binomials

Distributive Law

100

2(x + 5)

2x + 10

200

-7(y + 1)

-7y + -7

300

-12a(b - 2)

-12ab + 24a

400

-9b(b-6)

-9b²+54b

500

-6abc(-2ac - 3b)

12a²bc² + 18ab²c

Expand and Simplify

100

5(x + 2) + 2x

7x + 10

200

n(n - 9) + 2n

n² - 7n

300

2a(3a - 5) + 2a

6a² - 8a

400

3xy(2 - y) - (4x + 8)

6xy - 3xy² - 4x - 8

500

 s(2r - 3s) + 2r(3r - 2s)

3s²+ 6r² - 2rs 

Binomials Expansion

100

(x + 6) ( + 5)

x² + 11x + 30

200

(r + 5) (r - 8)

r² - 3r -40

300

(3n + 2)(n - 1)

3n² - n - 2

400

(2a + 5)(4a - 3)

8a² + 14a - 15

500

(3r - 2)(8r - 7)

24r² - 37r + 14

Difference of Two Squares

100

Expand (a + 2)(s -2)

a² - 4

200

Expand (2b + 5)(2b - 5 )

4b² - 25

300

Expand (4a + 2b)(4a - 2b)

16a² = 4b²

400

Expand (ab - 11b)(ab + 11b)

a²b² - 121b²

500

Expand (a - 4b)(a + 4b) + 3a²

4a² - 16b²

Perfect Square Rule

100

(x+4)²

x²+8x+16

200

(x - 3)²

x² - 6x + 9

300

(3a - 5)²

9a² - 30a + 25

400

(2y - 4)² + 4

4y² - 16y + 20

500

(y + 4)² + (y - 4)(y + 4)

2y² + 8y