Expanding expressions
-3(x - 5)
= -3x + 15
x2 - 5x + 6
= (x - 3) (x - 2)
3x2 + 10x + 3
= 3x2 + x + 9x + 3
= 3x(x+1) + 3(x+1)
= (x+1) (3x+3)
Solve for x,
(x+4)(x-2)=0
x=-4, x=2
What has hands but can't clap?
A clock
(x + 5) (x + 4)
= x2 + 4x + 5x + 20
= x2 + 9x +20
x2 - 8x + 16
= (x - 4) (x - 4)
= (x - 4)2
9x2 + 6x - 8
= 9x2 + 12x - 6x - 8
= 3x(3x+4) - 2(3x+4)
= (3x+4) (3x-2)
Solve for x,
(2x+4)(x-3)=0
x=-2, x=3
What has a thumb and four fingers but is not a hand?
(2x - 1) (3x + 5)
= 6x2 + 10x - 3x - 5
= 6x2 + 7x - 5
2x2 - 10x - 28
= 2(x2 - 5x - 14)
= 2(x - 7)(x + 2)
6x2 + 38x + 40
= 2 (3x2 + 19x + 20)
= 2 (3x2 + 15x + 4x + 20)
= 2 [ 3x(x+5) + 4(x+5) ]
= 2 (x+5) (3x+4)
Solve for x,
x^2+6x+8=0
x=-2, x=-4
A man who was outside in the rain without an umbrella or hat didn't get a single hair on his head wet. How did he do it?
He was bald.
(x - 4)2
= x2 - 8x + 16
x2 - 3x - 54
= (x - 9)(x + 6)
9x2 - 4
(3x+2) (3x-2)
Solve for x,
2x^2-10x+12=0
x=2, x=3
What question can you never answer 'Yes' to?
Are you asleep yet?
(x + 2)(x + 4) - (x - 2)(x - 5)
= (x2 + 4x + 2x + 8) - (x2 - 5x - 2x + 10)
= (x2 + 6x + 8) - (x2 - 7x + 10)
= x2 + 6x + 8 - x2 + 7x - 19
= 13x - 2
x^2-13x+36
(x-9)(x-4)
10x2 - 13x - 3
(2x-3) (5x+1)
Solve for x,
4x^2-4x-3=0
x=3/2, x=-1/2
Forward I am heavy, but backward I am not. What am I?
The word 'ton'