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How do you multiply and simplify #\frac { x ^ { 2} + 2x y + y ^ { 2} } { 2x ^ { 2} + 2x y } \cdot \frac { x - y } { x ^ { 2} - y ^ { 2} }#?

1 Answer

Feb 21, 2017

#=1/(2x)#

Explanation:

#(x^2+2xy+y^2)/(2x^2+2xy)times(x-y)/(x^2-y^2)#

#=(x+y)^2/(2x(x+y))times(x-y)/((x+y)(x-y))#

#=(x+y)^2/(2x(x+y)^2)times(x-y)/(x-y)#

#=1/(2x)#

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