document.write( "Question 76614: distributive property,expand and simplify this question\r
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document.write( "3x + 2(5x - 3)\r
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document.write( "the textbook \"Math power NINE\" page. 94-95 \n" );
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Algebra.Com's Answer #54974 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! 3x + 2(5x - 3) \n" ); document.write( ". \n" ); document.write( "The +2 multiplies each of the terms inside the parentheses. When you multiply +2 times 5x \n" ); document.write( "you get +10x because 2 times 5 equals 10. When you multiply the +2 times the -3 you get \n" ); document.write( "-6. The 2 times the 3 is 6 and the minus sign applies because the rule is that a minus times \n" ); document.write( "a plus gives a minus answer. (A plus times a plus gives a plus answer, and a minus times a \n" ); document.write( "minus also gives a plus answer.) \n" ); document.write( ". \n" ); document.write( "After the multiplication the problem becomes: \n" ); document.write( ". \n" ); document.write( "3x + 10x - 6 \n" ); document.write( ". \n" ); document.write( "Now you can combine the two terms that contain x. In this case they are both positive \n" ); document.write( "so the addition is just 3x + 10x = 13x and the problem is: \n" ); document.write( ". \n" ); document.write( "13x - 6 \n" ); document.write( ". \n" ); document.write( "That's it. You can't simplify this any further, so the answer is 13x - 6. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to see your way through the problem. \n" ); document.write( " |