Question

subtract 6/5x^2-4/5x^3+5/6+3/2x from 1/3x^3-5/2x^2+3/5x+1/4

Answer 1

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