document.write( "Question 163631This question is from textbook Fundamentals of algebra and trigonometry
\n" ); document.write( ": I have no idea how to approach this equation. It says to simplify the expression.
\n" ); document.write( "(2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3) \n" ); document.write( "
Algebra.Com's Answer #120549 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
equation is given as:
\n" ); document.write( "\"%282x%5E2-3x%2B1%29%284%29%283x%2B2%29%5E3%283%29%2B%283x%2B2%29%5E4%284x-3%29\"
\n" ); document.write( "first term that looks like it can be simplified is (2x^2-3x+1)
\n" ); document.write( "this simplifies to (2x-1)*(x-1)
\n" ); document.write( "equation becomes
\n" ); document.write( "
\n" ); document.write( "since 4*3 = 12, equation becomes
\n" ); document.write( "\"%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\"
\n" ); document.write( "since (3x+2)^4 = (3x+2)^3*(3x+2), the equation can be further simplified as follows:
\n" ); document.write( "\"%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\"
\n" ); document.write( "this might be a little hard to see, but if you let \"a+=+12%2A%282x-1%29%2A%28x-1%29\"
\n" ); document.write( "and you let \"b+=+%283x%2B2%29%2A%284x-3%29\"
\n" ); document.write( "and you let \"c+=+%283x%2B2%29%5E3\"
\n" ); document.write( "the equation looks like
\n" ); document.write( "\"%28a%2Bb%29%2Ac\"
\n" ); document.write( "which is the same as
\n" ); document.write( "\"%28a%2Ac%29%2B%28b%2Ac%29\"
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\n" ); document.write( "hopefully this is what they are looking for.\r
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