The correct option is B ( x+y ) ( x+y+z ) x^2+y^2+2xy +yz+zx = #160; ( x^2+y^2+2xy )+(yz+zx) = #160; ( x+y )^2+z ( x+y ) = (x + ...

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Definition of Functions

x2+y2+2xy+yz+...

Question

$x^{2} + y^{2} + 2 x y + y z + z x$ =______

(x + y - z) (x - z)

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(x + y) (x + y + z)

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(x + y + 1) (z + y)

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(x + z + 1) (x + y)

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Solution

The correct option is B $(x + y) (x + y + z)$
$x^{2} + y^{2} + 2 x y + y z + z x$
= $(x^{2} + y^{2} + 2 x y) + (y z + z x)$
= ${(x + y)}^{2} + z (x + y)$
= $(x + y) (x + y + z)$

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x y (x - y) + y z (y - z) + z x (z - x)

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