ADDING AND SUBTRACTING THE POLYNOMIALS

Add the following polynomials :

Problem 1 :

(7j³ – 2) + (5j³ – j – 3)

Solution :

Given , (7j³ – 2) + (5j³ – j – 3)

 =  7j³ – 2 + 5j³ – j – 3

By combining like terms,

=  7j³ + 5j³ – j – 2 - 3

=  12j³ – j – 5

Problem 2 :

(8a⁵ – 4 ) + (3a⁵ + a – 2)

Solution :

Given , (8a⁵ – 4 ) + (3a⁵ + a – 2)

=  8a⁵ – 4 + 3a⁵ + a – 2

By combining like terms,

=  8a⁵ + 3a⁵ + a - 4 - 2

=  11a⁵ + a - 6

Problem 3 :

(6m⁵ + 1) + (2m⁵ + 9m – 1)

Solution :

Given , (6m⁵ + 1) + (2m⁵ + 9m – 1)

=  6m⁵ + 1 + 2m⁵ + 9m – 1

By combining like terms,

=  6m⁵ + 2m⁵ + 9m

=  8m⁵ + 9m

Problem 4 :

(3m⁵ + 1) + (9m⁵ + 3m – 2)

Solution :

Given , (3m⁵ + 1) + (9m⁵ + 3m – 2)

=  3m⁵ + 1 + 9m⁵ + 3m – 2

By combining like terms,

=  3m⁵ + 9m⁵ + 3m + 1 – 2

=  12m⁵ + 3m - 1

Problem 5 :

(-5x² – x + 4) + (-3x² – 5x + 2)

Solution :

Given , (-5x² – x + 4) + (-3x² – 5x + 2)

=  -5x² – x + 4 - 3x² – 5x + 2

By combining like terms,

=  -5x² - 3x²- x – 5x + 4 + 2

=  -8x² - 6x + 6

Subtract the following polynomials :

Problem 6 : 

(-x² + x – 4) – (3x² – 8x – 2)

Solution :

Given, (-x² + x – 4) – (3x² – 8x – 2)

=  -x² + x – 4 – 3x² + 8x + 2

By combining like terms,

=  -x² – 3x² + x + 8x - 4 + 2 

=  -4x² + 9x - 2

Problem 7 :

(8x² – 3x) – (5x – 5 – 8x²)

Solution :

Given , (8x² – 3x) – (5x – 5 – 8x²)

=  8x² – 3x – 5x + 5 + 8x²

=  8x² + 8x² – 3x – 5x + 5

=  16x² - 8x + 5

Problem 8 :

(-x² – 5x – 3) – (-7x² – 8x – 8)

Solution :

Given , (-x² – 5x – 3) – (-7x² – 8x – 8)

=  -x² – 5x – 3 + 7x² + 8x + 8

=  -x² + 7x² – 5x + 8x – 3 + 8

=  6x² + 3x + 5

Problem 9 :

(-2x³ + x) – (7x – 3 – 7x³)

Solution :

Given , (-2x³ + x) – (7x – 3 – 7x³)

=  -2x³ + x – 7x + 3 + 7x³

  =  -2x³ + 7x³ + x – 7x + 3

=  5x³ – 6x + 3

Problem 10 :

(3x³ + 3x² + 9) – (5x³ – 7x² + 6x – 9)

Solution :

Given, (3x³ + 3x² + 9) – (5x³ – 7x² + 6x – 9)

=  3x³ + 3x² + 9 – 5x³ + 7x² - 6x + 9

=  3x³– 5x³ + 3x² + 7x² - 6x + 9 + 9

=  -2x³ + 10x² – 6x + 18

Problem 11 :

Subtract t⁴ – 3t² + 7 from 5t³ – 9.

Solution :

=  (5t³ – 9) – (t⁴ – 3t² + 7)

=  5t³ – 9 - t⁴ + 3t² – 7

=  -t⁴ + 5t³ + 3t² - 16

Problem 12 :

Subtract y⁵ – y⁴ from y² + 3y⁴.

Solution :

=  (y² + 3y⁴)  – (y⁵ – y⁴ )

=  y² + 3y⁴ – y⁵ + y⁴

=  - y⁵ + 4y⁴ + y²

Problem 13 :

Add 4 (m² + 2) to 3m² + 7m

Solution :

=  4 (m² + 2) + 3m² + 7m

=  4m² + 8 + 3m² + 7m

= 4m² + 3m² + 7m + 8

=  7m² + 7m + 8

Problem 14 :

  3(x² – 2x + 3) – 4(4x + 1) – (3x² – 2x)

Solution :

Given , 3(x² – 2x + 3) – 4(4x + 1) – (3x² – 2x)

=  3x² – 6x + 9 – (16x + 4) – 3x² + 2x

=  3x² – 6x + 9 – 16x – 4 -3x² + 2x

  =  -20x + 5

Problem 15 :

(0.5x² + 4.25x - .9) - .5(x² + 7x – 3)

Solution :

Given , (0.5x² + 4.25x - 0.9) - 0.5(x² + 7x – 3)

=  0.5x² + 4.25x – 0.9 – (0.5x² + 3.5x – 1.5)

   =  0.5x² + 4.25x – 0.9 – 0.5x² – 3.5x + 1.5

=  0.75x + 0.6 

Apart from the stuff given above,  if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.