document.write( "Question 189554: ax+bx=a^2+2ab+b^2=
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #142232 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm assuming that the equation is \"ax%2Bbx=a%5E2%2B2ab%2Bb%5E2\" and that you want to solve for \"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"ax%2Bbx=a%5E2%2B2ab%2Bb%5E2\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%28a%2Bb%29=a%5E2%2B2ab%2Bb%5E2\" Factor out the GCF \"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28a%5E2%2B2ab%2Bb%5E2%29%2F%28a%2Bb%29\" Divide both sides by \"a%2Bb\" to isolate \"x\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28%28a%2Bb%29%28a%2Bb%29%29%2F%28a%2Bb%29\" Factor\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28highlight%28%28a%2Bb%29%29%28a%2Bb%29%29%2Fhighlight%28a%2Bb%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28cross%28%28a%2Bb%29%29%28a%2Bb%29%29%2Fcross%28a%2Bb%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=a%2Bb\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solution is \"x=a%2Bb\" where \"a%3C%3E-b\"
\n" ); document.write( "
\n" );