Square of Binomial
(4y-3)2
(4y)2 = 16y2
4y x -3 x 2 = -24y
(-3)2 = 9
= 16y2-24y+9
Factor: 3x3-5x2 - 15x +25
= (3x2-5x2)(15x+25)
= x2(3x-5x)-5(3x-5)
= (3x-5)(x2-5)
{6,7,8,9} U {3,6,8}
{3,6,7,8,9}
√8x x √2x
= √(8x)(2x) = √16x2
= √16x2 = √16 x √x2
= 4x
√-92
√-1 x √49 x √w
i x 7 x √2
7i√2
(2x+7)2
(2x)2 =4x2
2 x 2 x 7 = 28x
72 = 49
= 4x2+28x+49
Factor : x2+10x+21
= Numbers that add up to 10 but multiply to 21
= 3 + 7 / 3 x 7
= (x+3)(x+7)
A U B
A{6,7,8,} / B {5,7,8}
{5,6,7,8,9}
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
Add : 4+8i + 7+6i
11 + 14i
(3x+4)2
(3x+4)(3x+4)
= 3x(3x) + 3x(4) + 4(3x) + 4(4)
= 9x2+12x+12x+16
= 9x2+24x+16
Factor: x8-49
= (x4)2-72
= (x4-7)(x4+7)
{3,6,7,8}∩ {6,7,8}
{6,8}
-271/3
-(3√27)
(-3)3=-27
Answer : -3
Subtract: 8+2i - 3+1i
5+i
(3y-5)2
(3y-5)(3y-5)
3y(3y)+3y(-5)+(-5)(3y)+(-5)(-5)
9y2-15y-15y+25
= 9y2-30y+25
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)
A∩B
Set A = {11,21,35,42,51}/ Set B = {35,42,51,6,7}
{35,42,51}
811/2
√81
= 9
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