( -2x + 5y - 3z) whole cube
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Answer:
4x² -20xy +12xz - 30yz - 25y² - 18xz² + 45yz² - 27z
Step-by-step explanation:
(-2x + 5y - 3z)³ is also this: (-2x + 5y - 3z)(-2x + 5y - 3z)(-2x + 5y - 3z)
∴ take the first two bracket = (-2x+5y -3z)(-2x+5y -3z)
you do split = -2x(-2x+5y -3z) +5y(-2x+5y -3z) -3z(-2x+5y -3z)
=-2x(-2x+5y -3z) = 4x² - 10xy + 6xz
Then, second one =+5y (-2x +5y -3z) = -10xy +25y² -15yz
Third = -3z(-2x +5y - 3z) = +6xz -15yz +9z²
so, bring together and collect like terms = 4x²- 10xy- 10xy +6xz +6xz - 15yz - 15yz -25y² + 9z² = 4x² - 20xy + 12xz - 30yz - 25y² + 9z²(-2x + 5y - 3z)
Then, open bracket = 4x² - 20xy + 12xz - 30yz -25y² -18xz² + 45yz² - 27z² (ANSWERED,THANK YOU.)
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