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sweetgurllcece2
20.04.2021 •
Mathematics
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Ответ:
A) 2y * (x³ + 9x − 5x² − 45)
B) 2y * (x² + 9) * (x -5)
Step-by-step explanation:
Given the expression:
2x³y + 18xy − 10x²y − 90y
A) The Greatest Common Factor (GFC) is 2y. Then, the expression can be rewritten as follows:
2y * (x³ + 9x − 5x² − 45)
B) Continue with the parenthesis term of the previous expression, we can split it into two groups:
x³ − 5x² = x² * (x -5)
9x − 45 = 9 * (x - 5)
Therefore,
2y * (x³ + 9x − 5x² − 45) =
= 2y * [x² * (x -5) + 9 * (x - 5)] =
= 2y * (x² + 9) * (x -5)