Question

$(x + y + z)2$
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Answer 1

Correct Quesion:

( x + y + z)² = ?

Answer:

x² + y² + z² + 2xy + 2yz + 2xz

Process:

Simplifying:

• ( x + y + z)²

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

= x² + xy + xz + xy + y² + zy + zx + zy + z²

= x² + y² + z² + xy + xy + zx + zx + zy + zy

= x² + y² + z² + 2xy + 2zx + 2zy

Final Answer:

( x + y + z )²

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

= x² + y² + z² + 2xy + 2zx + 2zy