Answer:
Sure, let's simplify the expression step by step.
First, let's expand the expression x y z(x y z-x⁶y²z³-1):
x y z(x y z-x⁶y²z³-1) = x²y²z² - x⁷y³z⁴ - x y z
Now, let's subtract (x⁵y z²-2) (x y z-x²y²z²) from the above expression:
(x²y²z² - x⁷y³z⁴ - x y z) - (x⁵y z²-2) (x y z-x²y²z²)
Simplifying further:
x²y²z² - x⁷y³z⁴ - x y z - (x⁶y³z⁴ - 2x⁵y z² - x²y⁴z⁴ + 2x²y²z²)
Combining like terms:
x²y²z² - x⁷y³z⁴ - x y z - x⁶y³z⁴ + 2x⁵y z² + x²y⁴z⁴ - 2x²y²z²
Simplifying again:
- x⁷y³z⁴ + 2x⁵y z² + x²y⁴z⁴ - x²y²z² - x y z
And that's the simplified expression after subtracting the given expression.
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Answers & Comments
Answer:
Sure, let's simplify the expression step by step.
First, let's expand the expression x y z(x y z-x⁶y²z³-1):
x y z(x y z-x⁶y²z³-1) = x²y²z² - x⁷y³z⁴ - x y z
Now, let's subtract (x⁵y z²-2) (x y z-x²y²z²) from the above expression:
(x²y²z² - x⁷y³z⁴ - x y z) - (x⁵y z²-2) (x y z-x²y²z²)
Simplifying further:
x²y²z² - x⁷y³z⁴ - x y z - (x⁶y³z⁴ - 2x⁵y z² - x²y⁴z⁴ + 2x²y²z²)
Combining like terms:
x²y²z² - x⁷y³z⁴ - x y z - x⁶y³z⁴ + 2x⁵y z² + x²y⁴z⁴ - 2x²y²z²
Simplifying again:
- x⁷y³z⁴ + 2x⁵y z² + x²y⁴z⁴ - x²y²z² - x y z
And that's the simplified expression after subtracting the given expression.
Answer: