SOLUTION OF SUBTRACTING POLYNOMIALS

In this page solution of subtracting polynomials we are going to see solution for the worksheet subtracting polynomials.

Question 1:

( 3x³ - 2x² - 5x - 6 ) - ( 2x³ + 5x² - 2x - 11 )

   = 3x³ - 2x² - 5x - 6 -2x³ - 5x² + 2x + 11

   = 3x³ - 2x³ - 2x² - 5x² - 5x + 2x - 6 + 11

   = x³ - 7x² - 3x + 5

 Question 2:

( 5x³ + 3x² + 2x - 10 ) - ( x³ + 4x² - 12x - 5 )

   = 5x³ + 3x² + 2x - 10 - x³ - 4x² + 12x + 5 

   = 5x³ - x³ + 3x² - 4x² + 2x + 12x - 10 + 5

   = 4x³ - x² + 14x - 5

 Question 3:

( 15x³ + 22x² + 17x - 19 ) - ( 12x³ + 14x² + 17x - 12 )

   = 15x³ + 22x² + 17x - 19 - 12x³ - 14x² - 17x + 12

   = 15x³ - 12x³ + 22x² - 14x² + 17x - 17x - 19 + 12

   = 3x³ + 8x² + 0x - 7

   = 3x³ + 8x² - 7

 Question 4:

( 3x³ + 2x² + 6x - 4 ) - ( 5x³ + 3x² + 7x - 6 )

   = 3x³ + 2x² + 6x - 4 - 5x³ - 3x² - 7x + 6

   = 3x³ - 5x³ + 2x² - 3x² + 6x - 7x - 4 + 6

   = -2x³ - x² - x + 2

 Question 5:

( 13x³ + 23x² + 16x - 14 ) - ( x³ + 32x² + 17x - 16 )

   = 13x³ + 23x² + 16x - 14 - x³ - 32x² - 17x + 16

   = 13x³ - x³ + 23x² - 32x² + 16x - 17x - 14 + 16

   = 12x³ - 9x² - x + 2

 Question 6:

( 13s + 23t + 16w - z ) - ( 5s + 32t - 12w - 14z )

   = 13s + 23t + 16w - z - 5s - 32t + 12w + 14z

   = 13s - 5s + 23t - 32t + 16w + 12w - z + 14z

   = 8s - 9t + 28w + 13z

 Question 7:

( 12s + 13t + w - 2z ) - ( 11s + 21t - 8w - 4z )

   = 12s + 13t + w - 2z - 11s - 21t + 8w + 4z

   = 12s - 11s + 13t - 21t + w + 8w - 2z + 4z

   = s - 8t + 9w + 2z

Question 8:

( 2a + 3b + 2c - 4d ) - ( 14a - 13b + 20c - 14d )

   = 2a + 3b + 2c - 4d - 14a + 13b - 20c + 14d

   = 2a - 14a + 3b + 13b + 2c - 20c - 4d + 14d

   = -12a + 16b - 18c + 10d

Question 9:

( 12a + 30b + 20c - 24d ) - ( 4a - 10b + 20c + 11d )

   = 12a + 30b + 20c - 24d - 4a + 10b - 20c - 11d

   = 12a - 4a + 30b + 10b + 20c - 20c - 24d - 11d

   = 8a + 40b + 0c - 35d

Question 10:

( a + b + c - d ) - ( -a - b + c + d )

   = a + b + c - d + a + b - c - d

   = a + a + b + b + c - c - d - d

   = 2a + 2b + 0c - 2d

   = 2a + 2b - 2d
solution of subtracting polynomials  solution of subtracting polynomials  solution of subtracting polynomials

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