SOLUTION: I have no idea how to approach this equation. It says to simplify the expression. (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3)

Algebra ->  Equations -> SOLUTION: I have no idea how to approach this equation. It says to simplify the expression. (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3)      Log On


   

Question 163631This question is from textbook Fundamentals of algebra and trigonometry
: I have no idea how to approach this equation. It says to simplify the expression.
(2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3) This question is from textbook Fundamentals of algebra and trigonometry

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
equation is given as:
%282x%5E2-3x%2B1%29%284%29%283x%2B2%29%5E3%283%29%2B%283x%2B2%29%5E4%284x-3%29
first term that looks like it can be simplified is (2x^2-3x+1)
this simplifies to (2x-1)*(x-1)
equation becomes

since 4*3 = 12, equation becomes
%2812%2A%282x-1%29%2A%28x-1%29%2A%283x%2B2%29%5E3%29%2B%28%283x%2B2%29%5E4%2A%284x-3%29%29
since (3x+2)^4 = (3x+2)^3*(3x+2), the equation can be further simplified as follows:
%28%2812%2A%282x-1%29%2A%28x-1%29%29%2B%28%283x%2B2%29%2A%284x-3%29%29%2A%283x%2B2%29%5E3%29
this might be a little hard to see, but if you let a+=+12%2A%282x-1%29%2A%28x-1%29
and you let b+=+%283x%2B2%29%2A%284x-3%29
and you let c+=+%283x%2B2%29%5E3
the equation looks like
%28a%2Bb%29%2Ac
which is the same as
%28a%2Ac%29%2B%28b%2Ac%29
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hopefully this is what they are looking for.