document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119182>Question 1119182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.\r<BR>\n" );
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document.write( "(3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)\r<BR>\n" );
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document.write( "   = 3y2 – 12y2\r<BR>\n" );
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document.write( "   = –9y2\r<BR>\n" );
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document.write( "Is the student’s work correct?\r<BR>\n" );
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document.write( "No, she did not multiply –6y2 by 2 correctly. <BR>\n" );
document.write( "No, she did not add 3y2 and –12y2  correctly.<BR>\n" );
document.write( "No, she did not use the distributive property correctly.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734654 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distributive property says:\r<BR>\n" );
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document.write( "(a - b) * (c + d) equals a * (c + d) - b * (c + d) which is equal to:\r<BR>\n" );
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document.write( "a * c + a * d - b * c - b * d.\r<BR>\n" );
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document.write( "your expression is  3 – 6y^2 and y^2 + 2.\r<BR>\n" );
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document.write( "this would be written as (3 - 6y^2) * (y^2 + 2)\r<BR>\n" );
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document.write( "by the distributive property, this would be equal to:\r<BR>\n" );
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document.write( "3 * (y^2 + 2) - 6y^2 * (y^2 + 2), which would be equal to:\r<BR>\n" );
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document.write( "3 * y^2 + 3 * 2 - 6y^2 * y^2 - 6y^2 * 2, which would be equal to:\r<BR>\n" );
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document.write( "3y^2 + 6 - 6y^4 - 12y^2, which would then be equal to:\r<BR>\n" );
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document.write( "-9y^2 + 6 - 6y^4 after combining like terms, which would then be equal to:\r<BR>\n" );
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document.write( "-6y^4 - 9y^2 + 6 after re-arranging the terms in descending order of degree.\r<BR>\n" );
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document.write( "-6y^2 * 2 = -12y^2 so she did that correctly.\r<BR>\n" );
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document.write( "3y^2 - 12y^2 = -9y^2 so she did that correctly.\r<BR>\n" );
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document.write( "she did not, however, use the distributive property correctly.\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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