document.write( "Question 836632: Factor the expression.
\n" ); document.write( "25x^2(4+x^2)^-3/2 + 6x(4+x^2)^-1/2\r
\n" ); document.write( "\n" ); document.write( "I factored by grouping and got x(1+4x^2)^-3/2[25x+6(1+4x^2)^-2] but I don't know where to go from there. Please help! \n" ); document.write( "
Algebra.Com's Answer #504295 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"25x%5E2%284%2Bx%5E2%29%5E%28-3%2F2%29+%2B+6x%284%2Bx%5E2%29%5E%28-1%2F2%29+\"\r
\n" ); document.write( "\n" ); document.write( "since \"1%2F%28sqrt%284%2Bx%5E2%29%5E3%29=1%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29+\" and \"%284%2Bx%5E2%29%5E%28-1%2F2%29=1%2Fsqrt%284%2Bx%5E2%29+\", we have\r
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\n" ); document.write( "\n" ); document.write( "\"25x%5E2%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29+%2B+6x%2Fsqrt%284%2Bx%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2825x%5E2+%2B+6x%284%2Bx%5E2%29%29%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2825x%5E2+%2B+24x%2B6x%5E3%29%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2825x+%2B+24%2B6x%5E2%29+%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29\"....replace \"%2825x+%2B+24%2B6x%5E2%29\" with \"%282x%2B3%29%283x%2B8%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28x%282x%2B3%29%283x%2B8%29%29%2F%28%284%2Bx%5E2%29sqrt%284%2Bx%5E2%29%29+\"
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