document.write( "Question 175781: Simplify (3y – 2)(4y2 + 3y –5)......thanks \n" ); document.write( "

Algebra.Com's Answer #130879 by Edwin McCravy(20059) $\"\"$ $\"About$

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Simplify (3y – 2)(4y² + 3y –5)......thanks
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document.write( "Learn the pattern:\r\n" );
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document.write( "1st term on the left times 1st term on the right\r\n" );
document.write( "1st term on the left times 2nd term on the right\r\n" );
document.write( "1st term on the left times 3rd term on the right\r\n" );
document.write( "2nd term on the left times 1st term on the right\r\n" );
document.write( "2nd term on the left times 2nd term on the right\r\n" );
document.write( "2nd term on the left times 3rd term on the right\r\n" );
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document.write( "(3y – 2)(4y² + 3y – 5)\r\n" );
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document.write( "1st term on the left  is 3y\r\n" );
document.write( "2nd term on the left  is -2\r\n" );
document.write( "1st term on the right is 4y²\r\n" );
document.write( "2nd term on the right is 3y\r\n" );
document.write( "3rd term on the right is -5\r\n" );
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document.write( "So, \r\n" );
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document.write( "1st term on the left, 3y, times 1st term on the right, 4y², is 12y³ \r\n" );
document.write( "1st term on the left, 3y, times 2nd term on the right,  3y, is  9y²\r\n" );
document.write( "1st term on the left, 3y, times 3rd term on the right,  -5, is -15y\r\n" );
document.write( "2nd term on the left, -2, times 1st term on the right, 4y², is -8y²\r\n" );
document.write( "2nd term on the left, -2, times 2nd term on the right,  3y, is  -6y\r\n" );
document.write( "2nd term on the left, -2, times 3rd term on the right,  -5, is  +10\r\n" );
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document.write( "So on the first step you have 6 terms because there were 2 terms on\r\n" );
document.write( "the left and 3 terms on the right and 2x3 is 6.\r\n" );
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document.write( "12y³ + 9y² - 15y - 8y² - 6y + 10\r\n" );
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document.write( "On the second step you must combine like terms.\r\n" );
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document.write( "There is no other term like 12y³, so we just write it down.\r\n" );
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document.write( "The term 9y² and the term -8y² are like terms and they combine to +1y²,\r\n" );
document.write( "or just +y²\r\n" );
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document.write( "The term -15y and the term -6y are like terms and they combine to -21y.\r\n" );
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document.write( "There is no other term like +10, so we just write it down.\r\n" );
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document.write( "Final answer\r\n" );
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document.write( "12y³ + y² - 21y + 10\r\n" );
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document.write( "Edwin

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