Distrubutive property

constants only

50

3(2 + 5)

21

100

6(12 + 2)

84

150

15(2 + 5)

105

200

12(4 + 9 + 5)

216

250

15(2 + 4 + 6 + 8 + 10)

450

variables multiplied by a constant

50

2(2v + 4)

4v + 8

100

7(4v + 3)

28v + 21

150

12(8x + 6w)

96x + 72w

200

15(7x + 3y+ 8z)

105x + 45y + 120z

250

16(4a + 2b + 7c + 5d)

64a + 32b + 112c + 80d

multiplied by a coefficient

50

3x(3x + 3y)

3x² + 3xy

100

5xy(3xy + 4xy)

15xy² + 20xy² 

150

12y(12x + 4xy + 8y)

48xy² + 144xy + 96y²

200

12z(8z + 12x + 7z²)

96z² + 144xz + 84z³

250

15xyz²(6xy + 8y + 3)

45xyz² + 120x(yz)² + 90(xyz)²

combining like terms

50

3(2x + 2x + 2)

12x + 4

100

6(6x + 2x + 3 + x)

54x + 18

150

12(2x + 2y + 4x + 4y + 1)

72x + 72y + 12

200

15(4z + 4y + 3z + 3y)

105z + 105y

250

20(9x + 3x + 6z + 2z)

240x + 160z

mix

50

8x(2 + 3x)

16x + 24x²

100

7(12 + 6)

126

150

15(4x + 8y)

60x + 120y

200

16(3x + 4x + 3y + 2y)

112x + 96y

250

40(60z + 30y + 20x)

2400x + 1200y + 800z