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olga nikolaevna [1]
3 years ago
8

Factor 18v⁹+33v⁸+14v⁷ completely ​

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

v^{7} x (6v+7) x (3v+2)

Step-by-step explanation:

18v^9 + 33v^8 +14v^7

Factor out v^7 from the expression

v^7 x (18v^2+33v+14)

write 33v as a sum

v^7 x (18v^2+21v+12v+14)                  *like this 21v+12v

Factor out 3v from the expression

v^7 x (3v x (6v+7)+12v+14)

Factor out 2 from the expression

c^7 x (3v x (6v+7)+2(6v+7)

Factor out 6v+7 from the expression

v^7 x (6v+7) x (3v+2)

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Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

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Volume of the rectangular prism = (length × width × height)

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