Add the following ab bc bc ca ca ab


Asked by admin @ in Math viewed by 267 People


"Question 3 Add the following.

(i) ab − bc, bc − ca, ca − ab (ii) a − b + ab, b − c + bc, c − a + ac (iii) 2p^2q^2 − 3pq + 4, 5 + 7pq − 3p^2q^2 (iv) l^2 + m^2, m^2 + n^2, n^2 + l^2, 2lm + 2mn + 2nl
Class 8 Algebraic Expressions and Identities Page 140"

Answered by admin @



Algebraic expressions:


A combination of constants and variables
connected by any or all of the four fundamental operations +, -,×,÷ is called
an algebraic expression..


Terms:

The different parts of the expression separated by the sign+ or – are called the terms of the expression.


Addition of algebraic expressions:


While adding algebraic expressions we
collect the like terms and add them.

==========================================================

Solution:

i) (ab - bc) + (bc - ca) + (ca-ab)

= ab - bc  + bc - ca +ca -ab

= ab -ab -bc+bc-ca+ca
= 0



ii) (a - b + ab) + (b - c + bc) + (c - a + ac)

= a - b  + ab +b -c+ bc + c-a+ac

= a-a -b +b -c+c+ab+bc+ac
= ab + bc + ca



iii) 2p²q²– 3pq + 4, 5 + 7pq – 3p²q²

= (2p²q²- 3pq + 4) + (5 + 7pq - 3p²q²)

= 2p²q² - 3p²q² - 3pq + 7pq + 4 + 5

= - p²q² + 4pq + 9




iv) (l² + m²) + (m² + n²) + (n² + l²) + (2lm + 2mn + 2nl)

= l² + l² + m² + m² + n² + n² + 2lm + 2mn +
2nl

= 2l² + 2m² + 2n² + 2lm + 2mn + 2nl

==========================================================

Hope this will help you..


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