**NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and
Identities Ex 9.1**

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions
and Identities Ex 9.1 are the part of NCERT Solutions for Class 8 Maths. Here
you can find the NCERT Solutions for Class 8 Maths Chapter 9 Algebraic
Expressions and Identities Ex 9.1**.**** **

**Ex 9.1 Class 8 Maths
Question 1.**

Identify the terms, their coefficients for each of
the following expressions.(i) 5xyz

^{2}– 3zy

(ii) 1 + x + x

^{2}

(iii) 4x

^{2}y

^{2}– 4x

^{2}y

^{2}z

^{2}+ z

^{2}

(iv) 3 – pq + qr – rp

(v) x2 + y2 – xy

(vi) 0.3a – 0.6ab + 0.5b

**Solution:**

**Ex 9.1 Class 8 Maths Question 2.**

Classify the following polynomials as monomials,
binomials, trinomials. Which polynomials do not fit in any of these three
categories?x + y, 1000, x + x

^{2}+ x

^{3}+ x

^{4}, 7 + y + 5x, 2y – 3y

^{2}, 2y – 3y

^{2}+ 4y

^{3}, 5x – 4y + 3xy, 4z – 15z

^{2}, ab + bc + cd + da, pqr, p

^{2}q + pq

^{2}, 2p + 2q

**Solution:**

**Ex 9.1 Class 8 Maths Question 3.**

Add the following.(i) ab – bc, bc – ca, ca – ab

(ii) a – b + ab, b – c + bc, c – a + ac

(iii) 2p

^{2}q

^{2}– 3pq + 4, 5 + 7pq – 3p

^{2}q

^{2}

(iv) l

^{2}+ m

^{2}, m

^{2}+ n

^{2}, n

^{2}+ l

^{2}, 2lm + 2mn + 2nl

**Solution:
**(i) Given algebraic expressions are ab – bc, bc –
ca, ca – ab

We have,

(ab – bc) + (bc – ca) + (ca – ab) (Adding all the terms)

= ab – bc + bc – ca + ca – ab

= (ab – ab) + (bc – bc) + (ca – ca) (Collecting the like terms together)

= 0 + 0 + 0

= 0

(ii) Given algebraic expressions are

a – b + ab, b – c + bc, c – a + ac

We have,

(a – b + ab) + (b – c + bc) + (c – a + ac) (Adding all the terms)

= a – b + ab + b – c + bc + c – a + ac

= (a – a) + (b – b) + (c – c) + ab + bc + ac (Collecting all the like terms together)

= 0 + 0 + 0 + ab + bc + ac

= ab + bc + ac

(iii) Given algebraic expressions are

2p^{2}q^{2} – 3pq + 4, 5 + 7pq – 3p^{2}q^{2}

By arranging the like terms in the same column, we get

(iv) Given algebraic expressions are

l^{2} + m^{2}, m^{2} +
n^{2}, n^{2} + l^{2}, 2lm + 2mn + 2nl

By arranging the like terms in the same column,
we get

2(l^{2} +
m^{2} + n^{2} + lm + mn + nl)

**Ex 9.1 Class 8 Maths Question 4.**

(a)
Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3(6) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz

(c) Subtract 4p

^{2}q – 3pq + 5pq

^{2}– 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq

^{2}+ 5p

^{2}q

**Solution:****
**(a)
Arranging the like terms column-wise, we get

(b) Arranging the like terms column-wise, we get

[Changing the signs of all the terms of lower expressions and then add]

(c) Arranging the like terms column-wise, we get

[Changing the signs of all the terms of lower expressions and then add]

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