document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195047>Question 195047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> regarding algebra factorising: question is 4X + 8 = 4(X + 2)\r<BR>\n" );
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document.write( "i was given this question and answer but was not told how to work it out, i understnad how to get 4(X) (4X times 1 equals 4 (X) but i cant see how + 2 is found.\r<BR>\n" );
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document.write( "do i have the right idea or am i missing something out.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146308 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x +8<BR>\n" );
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document.write( "if  we  divide  both  terms  by  2,  and  the multiply  both  by  2,  the  expression  stays  the  same.<BR>\n" );
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document.write( "  (2) 4x/(2) + (2) 8/(2)<BR>\n" );
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document.write( "now  lets  take  out  the  common  factors  of  the  numerator,  2<BR>\n" );
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document.write( "(2)  { 4x/2 +8/2 }<BR>\n" );
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document.write( "and  now  simplify  each  term<BR>\n" );
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document.write( "(2) { 2x +4}<BR>\n" );
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document.write( "Normally  we  do  not  do  all of  these  steps,  we  simply  define  the  greatest  common  factor, and  extract  it  from  the  expression,,,being  careful  to  respect  all  of  the  terms.<BR>\n" );
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document.write( "For  example:<BR>\n" );
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document.write( "  3x3 +6x^2 +9x<BR>\n" );
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document.write( "The  greatest  common  number  factor  is  3,  and  the  greatest  common  variable  factor  is  x<BR>\n" );
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document.write( "(3x) { 3x^3/3x +6x^2 /3x +9x/3x }<BR>\n" );
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document.write( "3x ( x^2 +2x +3)<BR>\n" );
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document.write( "we  can  check  the  answer  by  distributing,  <BR>\n" );
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document.write( "3x(x^2) = 3x^3  ok,,,3x (2x) = 6x^2  ok,,,3x (3)=9x ok<BR>\n" );
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document.write( "one  more  example,  this  time  with  negatives<BR>\n" );
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document.write( "5x4 -15x^3 +20x^2 -25x<BR>\n" );
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document.write( "greatest  common  number  is  5,  greatest  common  variable  is  x,  therefore  5x<BR>\n" );
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document.write( "5x{  5x^4/5x - 15x^3/5x +20x^2 5x -25x/5x }<BR>\n" );
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document.write( "simplying<BR>\n" );
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document.write( "5x { x^3 - 3x^2 +4 x - 5 }<BR>\n" );
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document.write( "checking: 5x(x^3)=5x^4,,ok,,,,5x (-3x^2)= -15x^3,,ok,,,5x(4x)=20x^2,ok,,,,5x( -5) =-25x,  ok.<BR>\n" );
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document.write( "just  take  it  step  by  step,  until  it  becomes  second  nature<BR>\n" );
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document.write( "Good  Luck,,,,keep  up  hard  work </SPAN>\n" );
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