Question

add - 3/3x^3-1/4x^2+5/3,-5/4x^3+3/5x^2-x+1/5,-x+3/8x-8/15​

Answer 1

Step-by-step explanation:

stion 1:

Add the following expressions:

(i) 5x, 7x, −6x

(ii)

3

5

x,

2

3

x,

-4

5

x

(iii) 5a2b, −8a2b, 7a2b

(iv)

3

4

x2,5x2,-3x2,-

1

4

x2

(v) x − 3y + 4z, y − 2x − 8z, 5x − 2y − 3z

(vi) 2x2 − 3y2, 5x2 + 6y2, − 3x2 − 4y2

(vii) 5x − 2x2 − 8, 8x2 − 7x − 9, 3 + 7x2 − 2x

(viii)

2

3

a-

4

5

b+

3

5

c,-

3

4

a-

5

2

b+

2

3

c,

5

2

a+

7

4

b-

5

6

c

(ix)

8

5

x+

11

7

y+

9

4

xy,-

3

2

x-

5

3

y-

9

5

xy

(x)

3

2

x3-

1

4

x2+

5

3

,-

5

4

x3+

3

5

x2-x+

1

5

,-x2+

3

8

x-

8

15

ANSWER:

(i)

5x + 7x + (-6x)

= 5x + 7x -6x

= 6x

(ii)

3

5

x +

2

3

x +

-4

5

x=

9x +10x -12x

15

=

7x

15

(iii)

5a2b +( −8a2b) + 7a2b

= 5a2b − 8a2b + 7a2b

4a2b

(iv)

3

4

x2 + 5x2+ (-3x2 ) + (-

1

4

x2)=

3

4

x2 -

1

4

x2 + 5x2-3x2=

1

2

x2 + 2x2 =

5

2

x2

(v) Collecting like terms and adding them:

x − 3y + 4z + y − 2x − 8z + 5x − 2y − 3z

= x- 2x + 5x - 3y + y - 2y + 4z - 8z - 3z

= 4x -4y -7z

(vi) Collecting like terms and adding them:

2x2 − 3y2 + 5x2 + 6y2 + (− 3x2 − 4y2)

= 2x2 + 5x2 - 3x2 - 3y2 +6y2 -4y2= 4x2 -y2

(vii) Collecting like terms and adding them:

5x − 2x2 − 8 + 8x2 − 7x − 9 + 3 + 7x2 − 2x

= -2x2 +8x2 + 7x2 + 5x - 7x - 2x -8 -9 + 3= 13x2 -4x -14

(viii) Collecting like terms and adding them:

2

3

a-

4

5

b+

3

5

c +(-

3

4

a -

5

2

b+

2

3

c )+

5

2

a+

7

4

b-

5

6

c b -

5

2

b +

7

4

b +

3

5

c +

2

3

c -

5

6

c =

(8 -9 +30)a

12

+

(-16 - 50 +35)b

20

+

(18 +20 -25)c

30

=

29

12

a -

31

20

b +

13

30

c

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