document.write( "Question 1044562: Please help me solve this question in a understandable way for grade 10 curriculum!\r
\n" ); document.write( "\n" ); document.write( "Given that 3a−1/2a=7, determine the value of 27a^3−1/8a^3 without solving for a.\r
\n" ); document.write( "\n" ); document.write( "From the website, it gives that (3a−1/2a)(9a^2+3/2+1/4a^2)= 27a^3-1/8a^3, but how did they get the 3/2 from the middle? \r
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Algebra.Com's Answer #659882 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Please help me solve this question in a understandable way for grade 10 curriculum!\r
\n" ); document.write( "\n" ); document.write( "Given that 3a - 1/(2a) = 7, determine the value of 27a^3 - 1/(8a^3) without solving for a.
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document.write( "You are given\r\n" );
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document.write( " = .       (1)\r\n" );
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document.write( "Square both sides. You will get\r\n" );
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document.write( " +  = .\r\n" );
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document.write( "Or\r\n" );
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document.write( " +  = .\r\n" );
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document.write( "Add  to both sides. You will get\r\n" );
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document.write( " +  =  +  = .\r\n" );
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document.write( "Notice this one more time: \r\n" );
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document.write( " +  = 53.5.     (2)\r\n" );
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document.write( "Now\r\n" );
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document.write( "   -  =      (apply this identity:  =  !)\r\n" );
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document.write( "= .( + ) =   (now recall that the first parentheses is 7 (given !), while the second is 53.5 due to (2) !)\r\n" );
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document.write( "= 7*53.5.\r\n" );
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document.write( "Please calculate the last product on your own.\r\n" );
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document.write( "Is it what you want/need ?\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done. \r
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\n" ); document.write( "\n" ); document.write( "Why/how I was so smart?\r
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\n" ); document.write( "\n" ); document.write( "Because I knew the content of the lesson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO evaluate expressions involving $\"%28x+%2B+1%2Fx%29\"$ , $\"%28x%5E2%2B1%2Fx%5E2%29\"$ and $\"%28x%5E3%2B1%2Fx%5E3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "in this site, so, I was prepared in advance.\r
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\n" ); document.write( "\n" ); document.write( "Now, after reading my post and this lesson, you will be prepared too.\r
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\n" ); document.write( "\n" ); document.write( "By the way, you have free of charge online textbook in \"Algebra-I\" in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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