subtract 6/5x^2-4/5x^3+5/6+3/2x from 1/3x^3-5/2x^2+3/5x+1/4
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Answer:
Step-by-step explanation:
(i) 6/5x2
- 4/5x3
+ 5/6 + 3/2x from x3
/3 – 5/2x2
+ 3/5x + 1/4
Let us subtract the given expression
1/3x
3
– 5/2x
2
+ 3/5x + 1/4 – (6/5x
2
– 4/5x
3
+ 5/6 + 3/2x)
Upon rearranging
1/3x
3
+ 4/5x
3
– 5/2x
2
– 6/5x
2
+ 3/5x – 3/2x + 1/4 – 5/6
By grouping similar expressions we get,
LCM for (3 and 5 is 15), (2 and 5 is 10), (5 and 2 is 10), (4 and 6 is 24)
17/15x
3
– 37/10x
2
– 9/10x – 14/24
17/15x
3
– 37/10x
2
– 9/10x – 7/12
(ii) 5a2
/2 + 3a3
/2 + a/3 – 6/5 from 1/3a3
– 3/4a2
– 5
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