Please expand and simplify.....?

Question 1
6 x ² + 31 x + 18

Question 2
12 x ² - 21 x - 6

Question 3
9 x ² - 16

1) 6x^2 + 4x + 27x + 18 = 6x^2 + 31x + 18.

2) 12x^2 + 3x - 24x - 6 = 12x^2 - 21x - 6.

3) 9x^2 - 12x + 12x - 16 = 9x^2 - 16.

1. 6x^2 + 31x + 18
2. 12x^2 - 21x -6
3. 9x^2 - 16

1)6x^2+22x+18
2)12x^2 - 21x - 6
3)9x^2 - 16

Answer 1:
(2x + 9)(3x + 2)
= 2x(3x + 2) + 9(3x + 2)
= 6x^2 + 4x + 27x + 18
= 6x^2 + 31x + 18

Answer 2:
(3x - 6)(4x + 1)
= 3x(4x + 1) - 6(4x + 1)
= 12x^2 + 3x - 24x - 6
= 12x^2 - 21x - 6

Answer 3:
(3x + 4)(3x - 4)
= (3x)^2 - (4)^2
= 9x^2 - 16

1)
(2x + 9)(3x + 2)
= 2x*3x + 9*3x + 2x*2 + 9*2
= 6x^3 + 27x + 4x + 18
= 6x^3 + 31x + 18

2)
(3x - 6)(4x + 1)
= 3x*4x - 6*4x + 3x*1 - 6*1
= 12x^2 - 24x + 3x - 6
= 12x^2 - 21x - 6

3)
(3x + 4)(3x - 4)
= 3x*3x + 4*3x - 3x*4 - 4*4
= 9x^2 + 12x - 12x - 16
= 9x^2 - 16

stop cheating

FOIL..
First
Outter
Inner
Last..

1.
(2x+9)(3x+2)
2x(3x) + 9(3x) + 2x(2) + 9(2)
6x^2(squared) + 21x + 4x + 18
6x^2 + 25x + 18 = 0

2.
(3x-+-6)(4x+1)
3x(4x) + -6(4x) + 3x(1) + -6(1)
12x^2 + -24x + 3x + -6
12x^2 + -21x + -6 = 0

3.
(3x+4)(3x+-4)
3x(3x) + 3x(-4) + 4(3x) + 4(-4)
9x^2 + -12x + 12x + -16
9x^2 + -16 = 0

have fun with the quadratic formula.. that's interesting.