Distribution with Variables - Intense

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 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

Factoring

100

Factor the following Expression

5x^2 + 13x +6

(5x+3)(x+2)

200

Factor the following Expression

2x^2 + 5x -3

(2x-1)(x+3)

300

Factor the following Expression

4x^2 + 15x + 9

(4x+3)(x+3)

400

Factor the following Expression

5x^2 + x -6

(5x+6)(x-1)

500

Factor the following Expression

8x^2 + 22x + 15

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