document.write( "Question 55231: Please simplify
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document.write( "(2b-2)(4b²-2b-5) \r
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Algebra.Com's Answer #37494 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Please simplify\r\n" ); document.write( "(2b-2)(4b²-2b-5)\r\n" ); document.write( "\r\n" ); document.write( "There are 2 terms in the first parentheses and 3 terms in the second\r\n" ); document.write( "parentheses. Since 2×3 = 6 we expect to get 6 terms after multiplying\r\n" ); document.write( "and before simplifying\r\n" ); document.write( "\r\n" ); document.write( "1. Multiply the term 2b in the first parentheses\r\n" ); document.write( " by 4b² in the second parentheses. That gives 8b³.\r\n" ); document.write( "\r\n" ); document.write( "So far we have 8b³\r\n" ); document.write( "\r\n" ); document.write( "2. Multiply the term 2b in the first parentheses\r\n" ); document.write( " by -2b in the second parentheses. That gives -4b².\r\n" ); document.write( "\r\n" ); document.write( "So far we have 8b³ - 4b²\r\n" ); document.write( "\r\n" ); document.write( "3. Multiply the term 2b in the first parentheses\r\n" ); document.write( " by -5 in the second parentheses. That gives -10b.\r\n" ); document.write( "\r\n" ); document.write( "So far we have 8b³ - 4b² - 10b\r\n" ); document.write( "\r\n" ); document.write( "4. Multiply the term -2 in the first parentheses\r\n" ); document.write( " by 4b² in the second parentheses. That gives -8b².\r\n" ); document.write( "\r\n" ); document.write( "So far we have 8b³ - 4b² - 10b - 8b²\r\n" ); document.write( "\r\n" ); document.write( "5. Multiply the term -2 in the first parentheses\r\n" ); document.write( " by -2b in the second parentheses. That gives +4b.\r\n" ); document.write( "\r\n" ); document.write( "So far we have 8b³ - 4b² - 10b - 8b² + 4b\r\n" ); document.write( "\r\n" ); document.write( "6. Multiply the term -2 in the first parentheses\r\n" ); document.write( " by -5 in the second parentheses. That gives +10.\r\n" ); document.write( "\r\n" ); document.write( "We have 8b³ - 4b² - 10b - 8b² + 4b + 10\r\n" ); document.write( " \r\n" ); document.write( "That's 6 terms, so we have done all the multiplying required.\r\n" ); document.write( "\r\n" ); document.write( "Now we must simplify by combining like terms:\r\n" ); document.write( "\r\n" ); document.write( "To keep things straight, draw one line under each\r\n" ); document.write( "term in b², and two lines under each term in b. Be\r\n" ); document.write( "sure to underline their signs too: \r\n" ); document.write( "\r\n" ); document.write( "8b³ - 4b² - 10b - 8b² + 4b + 10\r\n" ); document.write( " ¯¯¯¯¯ ¯¯¯¯\r\n" ); document.write( "Now combine the terms with one line under them, getting -12b², and\r\n" ); document.write( "combine the terms with two lines under them, getting -6b.\r\n" ); document.write( "\r\n" ); document.write( "So the final answer is\r\n" ); document.write( "\r\n" ); document.write( "8b³ - 12b² - 6b + 10\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |