SOLUTION: multiply. 7w(2w-3)(2w+3) multiply the following. ((x)divided by(3) + (3)divided by (4)) ((3x)divided by (4) minus (3)divided by (5)) Business and finance. The price of an

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Question 67364: multiply.
7w(2w-3)(2w+3)
multiply the following.
((x)divided by(3) + (3)divided by (4)) ((3x)divided by (4) minus (3)divided by (5))
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.
Answer by algebrapro18(249) (Show Source):
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1)multiply.
7w(2w-3)(2w+3)

first i would foil (2w-3)(2w+3)

f = 2w(2w)
o = 2w(3)
i = -3(2w)
l = -3(3)

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

now just distribute

7w(2w-3)(2w+3)
=7w(4w^2-9)
=28w^3-63w

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

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

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

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

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

now foil the top

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

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

now just put that back in
{(4x+9)(5x-4)}/80
=(20x^2+20x-36)/80

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.

solve the equation p = 2x^2-100 for x.
p+100 = 2x^2
1/2p+50 = x^2
+/- = x