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Question

x2+y2+2xy+yz+zx=______

A
(x+yz)(xz)
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B
(x+y)(x+y+z)
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C
(x+y+1)(z+y)
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D
(x+z+1)(x+y)
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Solution

The correct option is B (x+y)(x+y+z)
x2+y2+2xy+yz+zx
= (x2+y2+2xy)+(yz+zx)
= (x+y)2+z(x+y)
= (x+y)(x+y+z)

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