Distribution with Variables

Distribution with Addition

100

3(x-1)+2(x+1)

5x-1

200

6(x-1)+2(x+2)

8x-2

or

2(4x-1)

300

4(x-1)+7(2x+1)

18x+3

or

3(6x+1)

400

6(2x+1)+6(x-2)

18x-6

or

6(3x-1)

500

5(4x-5)+3(8x+7)

44x-4

or

4(11x-1)

Distribution with combining like terms (Addition)

100

(2x^2+3x-2)+(x^2-5x-1)

3x^2-2x-3

200

(5x^2+x-8)+(7x^2+5)

12x^2 +x -3

300

(12x^3-24)+(6x^2-5x)

12x^3 + 6x^2 -5x -24

400

8(2x^3-4)+4(6x^2-9x)

16x^3 + 24x^2 - 36x - 32x

or 

4(4x^3 + 6x^2 -9x - 8)

500

6(12x^3-24x^2-4x+3)+8(6x^3-5x^2-7x+4)

120x^3-184x^2 -80x+44

or

4(30x^3-46x^2-20x+11)

Distribution with Subtraction

100

4(x-3)-6(x+1)

-2x-18

or

-2(x+9)

200

5(x+3)-2(3x+7)

-(1)x+1

300

4(x+2)-7(2x+4)

-10x-20

or

-10(x+2)

400

5(3x+4)-6(2x+3)

3x-2

500

9(5x+8)-10(4x+9)

5x-18

Distribution with combining like terms (Subtraction)

100

(5x^2-3x+6)-(x^2+3x-2)

4x^2-6x+8

or

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

200

(12x^2+6x-3)-(10x^2-4x+5 )

2x^2 +10x -8

or

2(x^2 + 5x -4)

300

(32x^3-20)-(15x^2-3x)

32x^3 -15x^2 +3x -20

400

8(3x^2-12)-6(4x^2-4x)

-24x-96

or

-24(x+4)

500

6(3x^3-2x^2-5x+7)-2(9x^3-3x^2-5x+4)

 

-6x^2 - 20x +34

or

-2(3x^2+10x-17)

Multiplication/Squaring

100

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

6x^2-13x+6

200

(x+1)(x-1)

x^2 -1

300

(4x+3)(4x+3)

16x^2+24x+9

400

(x-1)^2

x^2 -2x +1

500

(8x-3)^2

64x^2 - 48x +9