document.write( "Question 209355: Divide and simplify.
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document.write( "(5x-40/22)÷(x-8/55x)\r
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Algebra.Com's Answer #158261 by stanbon(75887) ![]() You can put this solution on YOUR website! simplify. \n" ); document.write( "(5x-40/22)÷(x-8/55x) \n" ); document.write( "--- \n" ); document.write( "(5(x-8))/22 + (x-8)/55x \n" ); document.write( "--------------------- \n" ); document.write( "lcd = 22*55x \n" ); document.write( "------------------------- \n" ); document.write( "Rewrite each term with the lcd as its denominator: \n" ); document.write( "[5(x-8)55x]/lcd] + [(x-8)*22/lcd]\r \n" ); document.write( "\n" ); document.write( "------------------------- \n" ); document.write( "Combine the numerators over the lcd:\r \n" ); document.write( "\n" ); document.write( "= [275x(x-8)+22(x-8)]/lcd \n" ); document.write( "--- \n" ); document.write( "= [275x^2 - 2200x + 22x - 176]/lcd \n" ); document.write( "--- \n" ); document.write( "= [275x^2 - 2178x - 176]/[1210x] \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "Reply to stanbon@comcast.net \n" ); document.write( " |