Question 67364
answers will be in red<br>

1)multiply.
7w(2w-3)(2w+3)<br>

first i would foil (2w-3)(2w+3)<br>

f = 2w(2w)
o = 2w(3)
i = -3(2w)
l = -3(3)<br>

(2w-3)(2w+3)
= 2w(2w)+2w(3)-3(2w)-3(3) 
= 4w^2+6w-6w-9
= 4w^2-9<br>

now just distribute<br>

7w(2w-3)(2w+3)
=7w(4w^2-9)
<font color = red>=28w^3-63w</font><br>

multiply the following.
(x/3 + 3/4) (3x/4 - 3/5)<br>

first off I would simplify
[(4x+9)/12][(15x-12)/20]<br>

now multiply
{(4x+9)(15x-12)}/240<br>

now factor out a 3 out of the top
3{(4x+9)(5x-4)}/240<br>

now simplify again
{(4x+9)(5x-4)}/80<br>

now foil the top<br>

f = 4x(5x)
o = 4x(-4)
i = 9(5x)
l = 9(-4)<br>

(4x+9)(5x-4)
=4x(5x)+4x(-4)+9(5x)+9(-4)
=20x^2-16x+45x-36
=20x^2+20x-36<br>

now just put that back in
{(4x+9)(5x-4)}/80
<font color = red>=(20x^2+20x-36)/80</font><br>

Business and finance. The price of an item is given by p=2x^2-100. Find the polynomial that represents the revenue generated from the sale of x items.<br>

solve the equation p = 2x^2-100 for x.
p+100 = 2x^2
1/2p+50 = x^2
<font color = red>+/-{{{sqrt(1/2p+50)}}} = x</font>