document.write( "Question 74188: Factor completely: (x+3y)^2-(2x+5y)^2 \n" ); document.write( "

Algebra.Com's Answer #53257 by rmromero(383) $\"\"$ $\"About$

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document.write( "Factor completely: (x+3y)^2-(2x+5y)^2\r
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document.write( "This is a speacial case: the difference of two squares\r
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document.write( "           x^2 - y^2 = (x - y) (x + y)\r
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document.write( "   (x+3y)^2-(2x+5y)^2 = [(x+3y)-(2x+5y)][(x+3y) + (2x+5y)]
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document.write( "                      = [(x+3y)-1(2x+5y)][(x+3y) + (2x+5y)]
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document.write( "                      = (x + 3y - 2x - 5y)(x + 3y + 2x +5y)
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document.write( "                      = (-x - 2y)(3x +8y)\r
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