Distributive Property Review

Distributing with Addition

100

3(x + 2)

3x + 6

200

10(x^2 + 7)

10x^2 + 70

300

-2a(a + 4)

-2a^2 - 8a

400

(4y + 8)2y

8y^2 + 16y

500

(4 + 6b)(-1x)

-4x - 6bx; or -6bx - 4x

Distributing with Subtraction

100

4(x - 2)

4x - 8

200

7(x - 4)

7x - 28

300

6(-x - 1)

-6x - 6

400

-3(7a - 12a)

15 a

500

(-7y - 4)(-6y)

42 y^2 + 24 y

Distribute and Combine Like Terms

100

4x + 3(x + 9)

7x + 27

200

2(y - 8) + 15

2y - 1

300

-3(y - 9) - 4y

-7y + 27

400

-2(3f - 8) + 4f -1

-2f + 15

500

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

19 x^2 - 32 x - y

Distribute with Variables

100

f(a + b)

fa + fb

200

m(a - b)

ma - mb

300

-c(c + b)

-c^2 - cb

400

w(-x - y)

-wx - wy

500

(xw - y)w

w^2x - wy

Quadratics

100

(x − 9)(x + 2)

x^2 − 7x − 18

200

(m − 1)(m − 8)

m^2 − 9m + 8

300

(7x + 4)(x − 5)

7x^2 − 31x − 20

400

(5p + 9)( p − 2)

5p^2 − p − 18

500

b(3b − 2)(b − 1)

3b^3 − 5b^2 + 2b