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Answer:
1. 45a⁵b³c⁸
------------- = 5a²b²c⁴
9a³bc⁴
Solution:
45/9 = 5
a⁵/a³ = a²
b³/b = b²
c⁸/c⁴ = c⁴
Therefore, 5a²b²c⁴.
2. -12r³s² + 9r⁵s³
-------------------- = -4rs + 3r³s²
3r²s
Solution:
for:
a.) -12r³s²/3r²s
-12/3 = -4
r³/r² = r
s²/s = s
Therefore, -4rs.
b.) 9r⁵s³/3r²s
9/3 = 3
r⁵/r² = r³
s³/s = s²
Therefore, 3r³s².
3. 56x³ - 21x⁵
---------------- = 8x - 3x³ (or -3x³ + 8x)
7x²
Solution:
a.) for 56x³/7x²
56/7 = 8
x³/x² = x
Therefore, 8x.
b.) for -21x⁵/7x²
-21/7 = -3
x⁵/x² = x³
Therefore, -3x³.
Arrange by decreasing degree.
Final answer is -3x³ + 8x.