Algebra

Multiplying Binomials

100

(x+7)(x-5)

x^2 + 2x - 35

200

(9x - 1)(6x + 2)

54x^2 + 12x - 2

300

(5b-2)(3b+2)

15b^2 + 4b -4

400

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

-20x2-12x+32

500

(4b^2 - 4)(4b^2 + 4)

16b^4 -16

Multiplying Polynomials

100

a(a+8)

a^2+8a

200

2xy(2x-3y)

4x^2y-6xy^2

300

(-7x^3)(3x^2 -1)

-21x^5 + 7x^3

400

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

-x^2 + 19x + 1

500

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

-12x^3 + 4x^2 - 21x

Factoring Polynomials

100

p^2 + 13p + 42

(p +7)(p+6)

200

3x^2-12x^3

3x^2(1-4x)

300

x^2 + x -90

(x+10)(x-9)

400

5x^2 +25x + 30

5(x+3)(x+2)

500

12x^2+9x-3

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

Factoring Polynomials-Special Case

100

2x^2-5x-12

(2x+3)(x-4)

200

3a^5-a^3

a^3 (3a^2 - 1)

300

1 - 9x^2

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

400

64x^3 + 1

(4x + 1) (16x^2 -4x +1)

500

125x^3-64y^3

(5x-4y)(25x^2 + 20xy + 16y^2)

Solving Equations by Factoring

100

x(x+6)=0

x=0, -6

200

b^2 - 81

-9,9

300

8b^2 -32

b = 2, -2

400

(4y-1)(y+2)=0

1/4, -2

500

x^2-5x+6

x= 2,3