2a²b²c - Заь²с² - 4а²ь²c²
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\frac{1}{ \sqrt{5} + \sqrt{3} } + \frac{1}{2( \sqrt{5} - \sqrt{3} ) } \\ \\ = \frac{1}{ \sqrt{5} + \sqrt{3} } + \frac{1}{2 \sqrt{5} - 2 \sqrt{3} } \\
The given expression is
x
4
+2x
3
−2x
2
+4x+6
The divisor is
x
2
+2x−3
Use long division method to divide the given expression by
x
2
+2x−3
x
4
+2x
3
−2x
2
+4x+6=x
2
+1+
x
2
+2x−3
2x+9
The remainder is 2x+9. It means if we subtract (2x+9) from given expression, then it is exactly divisible by x
2
+2x−3.
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