Find the products of the following
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Before, we may recall the identity,
(a + b + c)(a² + b² + c² - ab - bc - ac) = a³ + b³ + c³ - 3abc
Here, let,
a = 2x
b = - y
c = 3z
Then,
(2x - y + 3z)((2x)² + (-y)² + (3z)² - (2x · -y) - (-y · 3z) - (2x · 3z)) = (2x)³ + (-y)³ + (3z)³ - (3 · 2x · -y · 3z)
(2x - y + 3z)(4x² + y² + 9z² + 2xy + 3yz - 6xz) = 8x³ - y³ + 27z³ + 18xyz
Hence the answer is, 8x³ - y³ + 27z³ + 18xyz.
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answer is in the picture
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