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Square of Binomial
Factor/
Foil
Intersection
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Square Roots/Radical
Imaginary numbers
100

(4y-3)2

(4y)2 = 16y2

4y x -3 x 2 = -24y

(-3)2 = 9

= 16y2-24y+9

100

Factor: 3x3-5x2 - 15x +25

= (3x2-5x2)(15x+25)

= x2(3x-5x)-5(3x-5)

= (3x-5)(x2-5)


100

{6,7,8,9} U {3,6,8}

{3,6,7,8,9}

100

√8x x √2x 

= √(8x)(2x) = √16x2

= √16x2 = √16 x √x2

= 4x


100

√-92

√-1 x √49 x √w

i x 7 x √2

7i√2

200

(2x+7)2

(2x)2 =4x2

2 x 2 x 7 = 28x

72 = 49

= 4x2+28x+49

200

Factor : x2+10x+21

= Numbers that add up to 10 but multiply to 21

= 3 + 7 / 3 x 7

= (x+3)(x+7)



200

A U B

A{6,7,8,} / B {5,7,8}

{5,6,7,8,9}

200

8√45x-8√5x

= 8√9x5 - 8√4x5

= 8√9 x √5 - 8√4 x √5 (Reduce)

= 8 x 3√5 - 8x2√5

= 24√5 - 16√5

= (24-16)√5

= 8√5x

200

Add : 4+8i  + 7+6i


11 + 14i

300

(3x+4)2

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

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

= 9x2+12x+12x+16

= 9x2+24x+16

300

Factor: x8-49

= (x4)2-72    

= (x4-7)(x4+7)

300

{3,6,7,8}∩ {6,7,8}

{6,8}

300

-271/3

-(3√27)

(-3)3=-27

Answer : -3

300

Subtract: 8+2i - 3+1i

5+i

400

(3y-5)2

(3y-5)(3y-5)

3y(3y)+3y(-5)+(-5)(3y)+(-5)(-5)

9y2-15y-15y+25

= 9y2-30y+25

400

Use FOIL Method: 5x2-37x+14

= 5 x 14 =70

= x2-37x+70  - What 2 numbers add to -37 and multiple t 70?

= -35 x -2 = 70 / -35+-2+-37

= Rewrite in original equation : 5x2-35x-2x+14

= (5x2-35x)-(2x+14) 

= 5x(x-7)-2(x-7)

= (5x-2)(x-7)

400

A∩B

Set A = {11,21,35,42,51}/ Set B = {35,42,51,6,7}

{35,42,51}

400

811/2

√81 

= 9

400

Divide 3/8-i

3/8-i = 8+i/8+i = 3(8+i)/(8-i)(8+1)

(8-i)(8+i) = 82-i2 = 64 - (-1)= 64+1 = 65

3(8+i) = 3 x 8 + 3 x i = 24 +3i

24+3i/65

24/65 + 3i/65