SUBTRACTING POLYNOMIALS WORKSHEET
Problem 1 :
Subtract 5xy from 8xy.
Problem 2 :
Subtract (3c + 7d2) from (5c - d2).
Problem 3 :
Subtract (2x2 + 2y2 - 6) from (3x2 - 7y2 + 9)
Problem 4 :
Subtract (x3 + 4x2 - x + 6) from (2x3 + 5x2 - 2x + 7).
Problem 5 :
Subtract (2x3 + 7x2 - 3x - 3) from (3x3 - 2x2 - x + 4).
Problem 6 :
Subtract (3 + 3x - 7x5 - 5x6) from 2(x3 - x2 + 6x - 2).
Detailed Answer Key
Problem 1 :
Subtract 5xy from 8xy.
Solution :
= 8xy - 5xy
= 3xy
Problem 2 :
Subtract (3c + 7d2) from (5c - d2).
Solution :
= (5c - d2) - (3c + 7d2)
= 5c - d2 - 3c - 7d2
= 5c - 3c - d2 - 7d2
= 2c - 8d2
Problem 3 :
Subtract (2x2 + 2y2 - 6) from (3x2 - 7y2 + 9)
Solution :
= (3x2 - 7y2 + 9) - (2x2 + 2y2 - 6)
= 3x2 - 7y2 + 9 - 2x2 - 2y2 + 6
= 3x2 - 2x2 - 7y2 - 2y2 + 9 + 6
= x2 - 9y2 + 15
Problem 4 :
Subtract (x3 + 4x2 - x + 6) from (2x3 + 5x2 - 2x + 7).
Solution :
= (2x3 + 5x2 - 2x + 7) - (x3 + 4x2 - x + 6)
= 2x3 + 5x2 - 2x + 7 - x3 - 4x2 + x - 6
= 2x3 - x3 + 5x2 - 4x2 - 2x + x + 7 - 6
= x3 + x2 - x + 1
Problem 5 :
Subtract (2x3 + 7x2 - 3x - 3) from (3x3 - 2x2 - x + 4).
Solution :
= (3x3 - 2x2 - x + 4) - (2x3 + 7x2 - 3x - 3)
= 3x3 - 2x2 - x + 4 - 2x3 - 7x2 + 3x + 3
= 3x3 - 2x3 - 2x2 - 7x2 - x + 3x + 4 + 3
= x3 - 7x2 + 2x + 7
Problem 6 :
Subtract (3 + 3x - 7x5 - 5x6) from 2(x3 - x2 + 6x - 2).
Solution :
= 2(x3 - x2 + 6x - 2) + (3 + 3x - 7x5 - 5x6)
= 2x3 - 2x2 + 12x - 4 - 3 - 3x + 7x5 + 5x6
= 5x6 + 7x5 + 2x3 - 2x2 + 12x - 3x - 4 - 3
= 5x6 + 7x6 + 2x3 - 2x2 + 9x - 7
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