document.write( "Question 392588: factor 8b^2+24b+18 \n" ); document.write( "
Algebra.Com's Answer #278638 by haileytucki(390) You can put this solution on YOUR website! 8b^(2)+24b+18\r \n" ); document.write( "\n" ); document.write( "Factor out the GCF of 2 from each term in the polynomial. \n" ); document.write( "2(4b^(2))+2(12b)+2(9)\r \n" ); document.write( "\n" ); document.write( "Factor out the GCF of 2 from 8b^(2)+24b+18. \n" ); document.write( "2(4b^(2)+12b+9)\r \n" ); document.write( "\n" ); document.write( "In this problem (3)/(2)*(3)/(2)=9 and (3)/(2)+(3)/(2)=12, so insert (3)/(2) as the right hand term of one factor and (3)/(2) as the right-hand term of the other factor. \n" ); document.write( "2(b+(3)/(2))(b+(3)/(2))\r \n" ); document.write( "\n" ); document.write( "Remove the fraction by multiplying the first term of the factor by the denominator of the second term. \n" ); document.write( "2(2b+3)(2b+3)\r \n" ); document.write( "\n" ); document.write( "Combine the two common factors of (2b+3) by adding the exponents. \n" ); document.write( "2(2b+3)^(2) \n" ); document.write( " |