The DAV Class 6 Maths Solutions and **DAV Class 6 Maths Chapter 6 Worksheet 4 **Solutions of Introduction to Algebra offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 6 WS 4 Solutions

Question 1.

Separate the terms of the following algebraic expressions:

(a) x^{2} – 2xy + y^{2}

Solution:

x^{2}, – 2xy, y^{2}

(b) 5a^{2} + 6ab – 2b^{2} + 3

Solution:

5a^{2}, 6ab, – 2b^{2}, 3

(c) p^{3} + q^{3} + r^{3} – 3pqr

Solution:

p^{3}, q^{3}, r^{3}, – 3pqr

(d) x + y – z – xyz + 5

Solution:

x, y, – z, – xyz, 5

(e) 5x^{2}y – 5xy^{2}

Solution:

5x^{2}y, – 5xy^{2}

(f) 2x – 3y^{2} + \(\frac{1}{5}\) x^{2} – \(\frac{2}{3}\) y

Solution:

2x, – 3y^{2}, \(\frac{1}{5}\) x^{2}, – \(\frac{2}{3}\) y

Question 2.

Classify each of the following as monomial, binomial, trinomial or quadrinomial expressions:

(a) x + y

Solution:

Binomial

(b) 3

Solution:

Monomial

(c) a^{2} + 2ab + b^{2}

Solution:

Trinomial

(d) – x

Solution:

Monomial

(e) p – q + r – s

Solution:

Qadrinomial

(f) – 2a + 3b

Solution:

Binomial

(g) 3xyz

Solution:

Monomial

(h) 0

Solution:

Monomial

(i) 5xy + 2yx + 3

Solution:

5xy + 2yx + 3 = 7xy + 3, so it is binomial

(j) – pq + qr + rp – pqr

Solution:

Quadrinomial

(k) 4afec – 2

Solution:

Binomial

(l) x^{3} + x^{2} – x

Solution:

Trinomial

Question 3.

Is 4x + 3y + 2x a trinomial expression? Why not?

Solution:

4x + 3y + 2x is not trinomial

4x + 3y + 2x = 6x + 3y, so it is a binomial

Question 4.

Identify the like terms in the following:

(a) x^{2}, y^{2}, z^{2}, – x^{2}

Solution:

Like terms are x^{2} and \(\frac{1}{2}\) x^{2}

(b) p, 3q, r, 4p

Solution:

p and 4p

(c) – 2ab, 5a, 3ba, bac

Solution:

– 2ab and 3ba

(d) x^{2}2yz, 2x^{2}y^{2}z, 4xyz^{2}, – 4yx^{2}z

Solution:

x^{2}yz and – 4yx^{2}z

(e) – 11pq, 7 pr, qp, 4rq

Solution:

– 11pq and qp

(f) – a, 2b, 7a, 3c, a

Solution:

– a, 7a, a

(g) 3a^{2}b^{2}c, 2a^{3}b^{2}c, 2c^{3}ba^{3}, b^{2}a^{3}c

Solution:

2a^{3}b^{2}c and b^{2}a^{3}c

(h) 4x^{2}y^{2}, – 2x^{2}y, 3xyz, 2yx^{2}

Solution:

– 2x^{2}y and 2yx^{2}

Question 5.

Write the algebraic expression whose terms are:

(a) 2a, 3b, – 2c

Solution:

2a + 3b – 2c

(b) 4x^{2}y, – 2xy^{2}, – 3

Solution:

4x^{2}y – 2xy^{2} – 3

(c) x, – y, – z, – 3

Solution:

x – y – z – 3

Question 6.

Write two examples of each expression:

(а) Binomial expression

Solution:

2x + 3y

(b) Monomial expression

Solution:

3x

(c) Trinomial expression

Solution:

a + 2b + 3c