document.write( "Question 1015382: Please help and show all work.\r
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\n" ); document.write( "\n" ); document.write( " Divide: (1+5i)/(6−7i).Write your answer in a+bi form\r
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\n" ); document.write( "\n" ); document.write( ".Divide: (−3−2i)/(4+2i). Write your answer in a+bi form.\r
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Algebra.Com's Answer #631726 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing yours for you.  I'll do two others ones\r\n" );
document.write( "exactly step-by-step like your two.  Follow the EXACT\r\n" );
document.write( "same steps.\r\n" );
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document.write( "\"%282%2B7i%29%2F%288-9i%29\"\r\n" );
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document.write( "Form the conjugate of the denominator, which is\r\n" );
document.write( "like 8-9i except change the sign of the coefficient of i.\r\n" );
document.write( "The conjugate of 8-9i is 8+9i\r\n" );
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document.write( "Put that conjugate over itself to form a fraction which\r\n" );
document.write( "equals 1:  That fraction is \"%288%2B9i%29%2F%288%2B9i%29\".\r\n" );
document.write( "Multiply the given fraction by that:\r\n" );
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document.write( "FOIL out the top and bottom:\r\n" );
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document.write( "\"%2816%2B18i%2B56i%2B63i%5E2%29%2F%2864%2B72i-72i-81i%5E2%29\"\r\n" );
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document.write( "Combine like terms\r\n" );
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document.write( "\"%2816%2B74i%2B63i%5E2%29%2F%2864-81i%5E2%29\"\r\n" );
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document.write( "Substitute (-1) for the i2's\r\n" );
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document.write( "\"%2816%2B74i%2B63%28-1%29%5E%22%22%29%2F%2864-81%28-1%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2816%2B74i-63%5E%22%22%29%2F%2864%2B81%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "Combine like terms:\r\n" );
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document.write( "\"%28-47%2B74i%29%2F%28145%29\"\r\n" );
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document.write( "Break into two fractions:\r\n" );
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document.write( "\"-47%2F145%2B74i%2F145\"\r\n" );
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document.write( "Put the i after the fraction:\r\n" );
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document.write( "\"-47%2F145%2Bexpr%2874%2F145%29i\"\r\n" );
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document.write( "--------------------------------\r\n" );
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document.write( "\"%282-9i%29%2F%286%2B8i%29\"\r\n" );
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document.write( "Form the conjugate of the denominator, which is\r\n" );
document.write( "like 6+8i except change the sign of the coefficient of i.\r\n" );
document.write( "The conjugate of 6+8i is 6-8i\r\n" );
document.write( "\r\n" );
document.write( "Put that conjugate over itself to form a fraction which\r\n" );
document.write( "equals 1:  That fraction is \"%286-8i%29%2F%286-8i%29\".\r\n" );
document.write( "Multiply the given fraction by that:\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "FOIL out the top and bottom:\r\n" );
document.write( "\r\n" );
document.write( "\"%2812-16i-54i-72i%5E2%29%2F%2836-48i%2B48i-64i%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Combine like terms\r\n" );
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document.write( "\"%2812-70i%2B72i%5E2%29%2F%2836-64i%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Substitute (-1) for the i2's\r\n" );
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document.write( "\"%2812-70i%2B72%28-1%29%5E%22%22%29%2F%2836-64%28-1%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2812-70i-72%5E%22%22%29%2F%2836%2B64%5E%22%22%29\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"%28-60-70i%29%2F%28100%29\"\r\n" );
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document.write( "Break into two fractions:\r\n" );
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document.write( "\"expr%28%28-60%29%2F%28100%29%29-%2870i%29%2F%28100%29\"\r\n" );
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document.write( "Reduce the fractions\r\n" );
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document.write( "\"-3%2F5-%287i%29%2F10\"\r\n" );
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document.write( "Put the i after the fraction:\r\n" );
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document.write( "\"-3%2F5-expr%287%2F10%29i\"\r\n" );
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document.write( "Now do yours exactly step-by step like these two.\r\n" );
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document.write( "Edwin
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