document.write( "Question 1133672: The highest common factor of three polynomials 12x^2+16xy+5y^2, 30x^2-11xy-30y^2 and 6x^2-xy-5y^2 is? Show solution step by step \n" ); document.write( "
Algebra.Com's Answer #750928 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "To find the greatest common factor (\"GCF\") between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The \"GCF\"!\r
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\n" ); document.write( "\n" ); document.write( "\"+12x%5E2%2B16xy%2B5y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"+12x%5E2%2B6xy%2B10xy%2B5y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"+%2812x%5E2%2B6xy%29%2B%2810xy%2B5y%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"+6x%282x%2By%29%2B5y%282x%2By%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"%282+x+%2B+y%29+%286+x+%2B+5+y%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"30x%5E2-11xy-30y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"30x%5E2-36xy%2B25xy-30y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"%2830x%5E2%2B25xy%29-%2836xy%2B30y%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"5x%286x%2B5y%29-6y%286x%2B5y%29\"\r
\n" ); document.write( "\n" ); document.write( " =\"%286+x+%2B+5+y%29+%285+x+-+6+y%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+6x%5E2-xy-5y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"+6x%5E2-6xy%2B5xy-5y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"+%286x%5E2-6xy%29%2B%285xy-5y%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"+6x%28x-y%29%2B5y%28x-y%29\"\r
\n" ); document.write( "\n" ); document.write( " =\"%286+x+%2B+5+y%29+%28x+-+y%29\"\r
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\n" ); document.write( "\n" ); document.write( "=>The \"GCF\" is \"%286+x+%2B+5+y%29\"\r
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