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Question

Simplify x2+y2z2+2xyx2y2z22yz.

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Solution

Simplify x2+y2z2+2xyx2y2z22yz=x2+y2+2xyz2x2[y2+z2+2yz]
=(x+y)2z2x2(y+z)2=((x+y)z)(x+y+z)(x(y+z))(x+y+z) a2b2=(ab)(a+b)
=(x+yz)(x+y+z)(xyz)(x+y+z)
=x+yzxyz

1174737_1249854_ans_98584896c6924fe79b892c6dcc7e1238.jpg

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