document.write( "Question 55027: 1. 16a^4-2a\r
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\n" ); document.write( "\n" ); document.write( "2. x^4-4x^2+3\r
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\n" ); document.write( "\n" ); document.write( "Please Help, I am lost. Thanks
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Algebra.Com's Answer #37251 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
I think you must need to factor these, you didn't give me the directions. If you neede something else let me know.
\n" ); document.write( "1. \"16a%5E4-2a\" Factor out the GCF (greatest common factor).
\n" ); document.write( "\"2a%288a%5E3-1%29\" Recognize that you have a difference of two cubes.
\n" ); document.write( "\"2a%282a%2A2a%2A2a-1%2A1%2A1%29\"
\n" ); document.write( "\"2a%28%282a%29%5E3-%281%29%5E3%29\" The formula for factoring two cubes is \"highlight%28u%5E3-v%5E3=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29%29\" u=2a and v=1
\n" ); document.write( "\"2a%282a-1%29%28%282a%29%5E2%2B2a%281%29%2B%281%29%5E2%29\"
\n" ); document.write( "\"2a%282a-1%29%284a%5E2%2B2a%2B1%29\"
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\n" ); document.write( "2. \"x%5E4-4x%5E2%2B3\"
\n" ); document.write( "\"%28x%5E2%29%5E2-4%28x%5E2%29%2B3\"
\n" ); document.write( "Let \"p=x%5E2\"
\n" ); document.write( "\"p%5E2-4p%2B3\" Factor as usual, two numbers that multiply to give you +3, but add together to give you -4 are:-1 and -3. (-3*-1=+3 and -1-3=-4)
\n" ); document.write( "\"%28p-3%29%28p-1%29\"
\n" ); document.write( "Let \"x%5E2=p\"
\n" ); document.write( "\"%28x%5E2-3%29%28x%5E2-1%29\" Notice \"x%5E2-1\" is the difference of squares, thus\"highlight%28u%5E2-v%5E2=%28u%2Bv%29%28u-v%29%29\" applies.
\n" ); document.write( "\"%28x%5E2-3%29%28x%2B1%29%28x-1%29\"
\n" ); document.write( "Happy Calculating!!!\r
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