factorise: x(x+z)-y(y+z)
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4
x(x+z)−y(y+z)=x
2
+(xz)−y
2
−(yz)
=x
2
−y
2
+xz−yz
so x(x+z)−y(y+z)=(x−y)(x+y+z)
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1
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