(x + y +z)(x²+y² + z² -xy -yz -zx) =
Answers
Step-by-step explanation:
=X²-Y²+Z²+X²-Y²-Z²+X²+Y²-Z²
=X²+X²+X²-Y²-Y²+Y²+Z²-Z²-Z²
=3X²-Y²-Z²
=4X²-X²-Y²-Z²
=4X²-(X²+Y²+Z²)
=(2X)²-(X+Y+Z)²
=(2X+X+Y+Z)(2X-X-Y-Z) [BY FORMULA (A²-B²)]
=(3X+Y+Z)(X-Y-Z) [ANSWER]
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