Question 3(iv)
Add the following:
(iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l$

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Solution

(iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l$
$S u m = l^{2} + m^{2} + m^{2} + n^{2}$ $+ l^{2} + n^{2} + 2 m l + 2 m n + 2 n l (a d d i n g l i k e t e r m s)$

Hence, the sum is
$2 (l^{2} + m^{2} + n^{2} + l m + m n + n l)$

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Similar questions

Q. Add the following:

l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l

Q. Question 3(iv)
Add the following:
(iv)

l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l

Q. Simplify

l^{2} + m^{2} + m^{2} + n^{2} + n^{2} + l^{2} + 2 l m + 2 m n + 2 n l

Q. Add

l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l

Add following.
(i) $a b - b c, b c - c a, c a - a b$
(ii) $a - b + a b, b - c + b c, c - a + a c$
(iii) $2 p^{2} q^{2} - 3 p q + 4, 5 + 7 p q - 3 p^{2} q^{2}$
(iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l$

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Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

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Question 3(iv) Add the following: (iv) l2+m2,m2+n2,n2+l2+2lm+2mn+2nl

(iv) l2+m2,m2+n2,n2+l2,2lm+2mn+2nl Sum = l2+m2+m2+n2+l2+n2+2ml+2mn+2nl (adding like terms) Hence, the sum is ​2(l2+m2+n2+lm+mn+nl)

Question 3(iv)
Add the following:
(iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l$

(iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l$
$S u m = l^{2} + m^{2} + m^{2} + n^{2}$ $+ l^{2} + n^{2} + 2 m l + 2 m n + 2 n l (a d d i n g l i k e t e r m s)$

Hence, the sum is
$2 (l^{2} + m^{2} + n^{2} + l m + m n + n l)$