Mathematics deals with four arithmetic operations in general and Subtraction is one among them. Subtraction of Algebraic Expressions is more of Subtraction of Numbers. The only difference is we need to identify and collect like and unlike terms. This Worksheet on Subtraction of Unlike Terms has different questions asked for simplifying algebraic expressions.

Know how to solve the Problems on Subtraction of Unlike Terms by checking out the worked-out examples prevailing. Students can check the answers available if they have any difficulty while solving the Identifying and Subtracting Unlike Terms Worksheet PDF. Download the Unlike Terms Subtraction Worksheet over here for free and practice them to master the concept.

Read More:

- Worksheet on Addition of Unlike Terms
- Worksheet on Adding and Subtracting Like Terms

## Simplifying Algebraic Expressions by Subtracting Unlike Terms Worksheet

**I. Subtract the following:
**(i) from 7ab take a

(ii) from 19a

^{2}bc take 7abc

(iii) from -4yz take 10xz

(iv) from a

^{2}take b

^{2}

(v) from 25ab take 7b

(vi) from 35mn take 20np

**Solution:**

(i) Subtract a from 7ab

7ab-a

Hence, By subtracting a from 7ab we get 7ab-a.

(ii) subtract 7abc from 19a^{2}bc

19a^{2}bc-7abc

Hence, By subtracting 7abc from 19a^{2}bc we get 19a^{2}bc-7abc.

(iii) subtract 10xz from -4yz

-4yz-10xz

Hence, By subtracting 10xz from -4yz we get -4yz-10xz.

(iv) subtract b^{2} from a^{2}.

a^{2}-b^{2}

Hence, By subtracting b^{2} from a^{2} we get a^{2}-b^{2}.

(v) subtract 7b from 25 ab

=25ab-7b

Hence, By subtracting 7b from 25ab we get 25ab-7b.

(vi) Subtract 20np from 35mn

=35mn-20np

Hence, By subtracting 20np from 35mn we get 35mn-20np.

**II. Find the difference of:
**(i) 4a from 18b

(ii) 10m

^{2}from 6mn

(iii) 18x

^{2}from 12x

^{2}y

(iv) 2b from 6ab

(v) 3y

^{3}from 12y

^{2}

(vi) ab

^{2}from a

^{2}b

**Solution:**

(i) Subtract 4a from 18b

18b – 4a

Therefore, the difference of 4a from 18b is 18b – 4a.

(ii) Subtract 10m^{2} from 6mn

=6mn-10m^{2
}Therefore, the difference of 10m^{2} from 6mn is 6mn-10m^{2}.

(iii) Subtract 18x^{2} from 12x^{2}y

=12x^{2}y- 18x^{2}

Therefore, the difference of 18x^{2} from 12x^{2}y is 12x^{2}y- 18x^{2}.

(iv) Subtract 2b from 6ab

=6ab-2b

Therefore, the difference of 2b from 6ab is 6ab-2b.

(v) Subtract 3y^{3} from 12y^{2
}=12y^{2}-3y^{3}

Therefore, the difference of 3y^{3} from 12y^{2} is 12y^{2}-3y^{3}.

(vi) Subtract ab^{2} from a^{2}b

=a^{2}b-ab^{2}

Therefore, the difference of ab^{2} from a^{2}b is a^{2}b-ab^{2}.

**
III. Subtract the first term from the second term:
**(i) 7x, 18y

(ii) 6mn, n

^{2}

(iii) 2z, 7y

(iv) pq, 18p

(v) 3pq, 2mn

(vi) 24mnp, 20mn

**Solution:**

(i) Given, 7x, 18y

Subtract the first term from the second term,

=18y-7x

Hence, By subtracting 7x from 18y we get 18y-7x.

(ii) Given, 6mn, n^{2}

Subtract the first term from the second term,

=n^{2}-6mn

Hence, By subtracting 6mn from n^{2} we get n^{2}-6mn.

(iii) Given, 2z, 7y

Subtract the first term from the second term,

=7y-2z

Hence, By subtracting 2z from 7y we get 7y-2z.

(iv) Given, pq, 18P

Subtract the first term from the second term,

=18P-pq

Hence, By subtracting pq from 18P we get 18P-pq.

(v) Given, 3pq, 2mn

Subtract the first term from the second term,

=2mn-3pq

Hence, By subtracting 3pq from 2mn we get 2mn-3pq.

(vi) given, 24mnp, 20mn

Subtract the first term from the second term,

=20mn-24mnp

Hence, By subtracting 24mnp from 20mn we get 20mn-24mnp.

**IV. Evaluate the following:**

(i) 2x + 5y – 3y

(ii) 2m + 5n + m – n

(iii) 7ab – 3b – 2ab

(iv) x – 3y – 2x + 15y

(v) -2ab – 5ab – 6ay

(vi) 4x^{2} – 2y^{2} – x^{2
}(vii) 5mn+km-mn+3km

**Solution:**

(i) Given, 2x + 5y – 3y

=2x+2y

Therefore, By evaluating 2x + 5y – 3y we get 2x+2y.

(ii) Given, 2m + 5n + m – n

=2m+m+5n-n

=3m+4n

Therefore, By evaluating 2m + 5n + m – n we get 3m+4n.

(iii) Given, 7ab – 3b – 2ab

=7ab-2ab-3b

=5ab-3b

Therefore, By evaluating 7ab – 3b – 2ab we get 5ab-3b.

(iv) Given, x – 3y – 2x + 15y

=x-2x-3y+15y

=-x+12y

Therefore, By evaluating x – 3y – 2x + 15y we get -x+12y.

(v) Given, -2ab – 5ab – 6ay

=-7ab-6ay

Therefore, By evaluating -2ab – 5ab – 6ay we get -7ab-6ay .

(vi) Given, 4x^{2} – 2y^{2} – x^{2}

=4x^{2} -x^{2} -2y^{2}

=3x^{2} -2y^{2}

Therefore, By evaluating 4x^{2} – 2y^{2} – x^{2} we get 3x^{2} -2y^{2}.

(vii) Given, 5mn+km-mn+3km

=5mn-mn+km+3km

=4mn+4km

Therefore, By evaluating 5mn+km-mn+3km we get 4mn+4km.

**V. Find the difference between**

(i) 15xy,2y^{2}

(ii) -28mn,2m^{3}n

**Solution:**

(i) Given 15xy,2y^{2}

=15xy-2y^{2}

Therefore, the difference between 15xy,2y^{2} is 15xy-2y^{2}.

(ii) Given -28mn,2m^{3}n

=-28nm-2m^{3}n

Therefore, the difference between -28mn,2m^{3}n is -28nm-2m^{3}n.

**VI. **How much is 4x + 3y greater than 2y?

**Solution:**

=4x+3y-2y

=4x+y

Therefore, 4x+3y is greater than 2y by 4x+y.