yselahernandez02
25.06.2019 •
Mathematics
What is the general form of the equation of a circle with center at (a, b) and radius of length m? a. x2 + y2 ? 2ax ? 2by + (a2 + b2 ? m2) = 0 b. x2 + y2 + 2ax + 2by + (a2 + b2 ? m2) = 0 c. x2 + y2 ? 2ax ? 2by + (a + b ? m2) = 0 d. x2 + y2 + 2ax + 2by + a2 + b2 = -m2
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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)