document.write( "Question 153182: B 2b
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\n" ); document.write( " b-1 b squared - 1 \n" ); document.write( "

Algebra.Com's Answer #112764 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"b%2F%28b-1%29%2B%282b%29%2F%28b%5E2-1%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"b%2F%28b-1%29%2B%282b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Factor $\"b%5E2-1\"$ to get $\"%28b-1%29%28b%2B1%29\"$ . Notice how the LCD is $\"%28b-1%29%28b%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28b%2B1%29%2F%28b%2B1%29%29%28b%2F%28b-1%29%29%2B%282b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Multiply the first term by $\"%28b%2B1%29%2F%28b%2B1%29\"$ . The goal is to get the first denominator equal to the LCD $\"%28b-1%29%28b%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%28b%2B1%29%29%2F%28%28b-1%29%28b%2B1%29%29%2B%282b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%5E2%2Bb%29%2F%28%28b-1%29%28b%2B1%29%29%2B%282b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Distribute\r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%5E2%2Bb%2B2b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Add the fractions.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%5E2%2B3b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So $\"b%2F%28b-1%29%2B%282b%29%2F%28b%5E2-1%29=%28b%5E2%2B3b%29%2F%28%28b-1%29%28b%2B1%29%29\"$ where $\"b%3C%3E-1\"$ or $\"b%3C%3E1\"$ \n" ); document.write( "

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