document.write( "Question 359098: simplify (3a4-2a2+5a-10)-(2a4+4a2+5a-2) \n" ); document.write( "

Algebra.Com's Answer #256388 by aggie_tutor(13) $\"\"$ $\"About$

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(3a4-2a2+5a-10)-(2a4+4a2+5a-2)\r
\n" ); document.write( "\n" ); document.write( "remove first set of parentheses:
\n" ); document.write( " $\"3a%5E4+-+2a%5E2+%2B+5a+-+10+-%282a%5E4+%2B+4a%5E2+%2B+5a+-+2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "apply \"-\" sign to second parentheses (distributive prop):
\n" ); document.write( " $\"3a%5E4+-+2a%5E2+%2B+5a+-+10+-+2a%5E4+-+4a%5E2+-+5a+-%28-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "the - of a - becomes a + :
\n" ); document.write( " $\"3a%5E4+-+2a%5E2+%2B+5a+-+10+-+2a%5E4+-+4a%5E2+-+5a+%2B+2\"$ \r
\n" ); document.write( "\n" ); document.write( "combine like terms:
\n" ); document.write( " $\"3a%5E4+-+2a%5E4+-+2a%5E2+-4a%5E2+%2B+5a+-+5a+-+10+%2B+2\"$ \r
\n" ); document.write( "\n" ); document.write( "Factor out the variables that are alike:
\n" ); document.write( " $\"%283-2%29a%5E4+%2B+%28-2-4%29a%5E2+%2B+%285-5%29a+%2B+%28-10+%2B+2%29\"$
\n" ); document.write( "{(1)a^4 + (-6)a^2 + 0a + (-8)}}}\r
\n" ); document.write( "\n" ); document.write( "0a is just 0, makea the \"a\" term go away:
\n" ); document.write( " $\"a%5E4+-6a%5E2+-8\"$ \r
\n" ); document.write( "\n" ); document.write( "can try to factor as squares, but it doesn't work out:
\n" ); document.write( "8 = (-4) x (+2) product factors cannot add to make 6.\r
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