document.write( "Question 1004042: Rewrite each of the following expression as the product of two binomials by factoring out a common binomial factor\r
\n" ); document.write( "\n" ); document.write( "1) (X+5)(X-1)+(X+5)(2X-3)\r
\n" ); document.write( "\n" ); document.write( "2) (2X-1)(2X+7)-(2X-1)(X-3)
\n" ); document.write( "

Algebra.Com's Answer #620609 by rosey51235(30)\"\" \"About 
You can put this solution on YOUR website!
1) (X+5)(X-1)+(X+5)(2X-3)
\n" ); document.write( "-on each side of the plus sign there is multiplication by (X+5)
\n" ); document.write( "-factor this out by putting it out in front of the whole equation
\n" ); document.write( "(X+5)((X-1)+(2X-3))
\n" ); document.write( "-solve the addition part of the equation
\n" ); document.write( "-look at only the x's first. x+2x=3x
\n" ); document.write( "-look at only the constant numbers next. -1+-3=-4
\n" ); document.write( "-combine them! 3x-4
\n" ); document.write( "-product of 2 binomials: (X+5)(3X-4)
\n" ); document.write( "2) (2X-1)(2X+7)-(2X-1)(X-3)
\n" ); document.write( "-this common factor is (2X-1)
\n" ); document.write( "(2X-1)((2X+7)-(X-3))
\n" ); document.write( "-look at the x's: 2X-X=X
\n" ); document.write( "-look at the constants: 7--3=7+3=10
\n" ); document.write( "-combine: X+10
\n" ); document.write( "-product of 2 binomials: (2X-1)(X+10)\r
\n" ); document.write( "\n" ); document.write( "Hope I helped :)
\n" ); document.write( "-rosey51235
\n" ); document.write( "
\n" );