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Addition and Subtraction of Algebraic Expression

Add the expre...

Question

Add the expressions in each of the following.
i) $2 l + 3 m - 6 n + 4 p, 3 l - 5 m + 16 n - 4 p, 12 l - 6 m - 4 n - 2 p a n d l - 2 m + 3 n - 4 p$
ii) $7 x^{3} + 3 x + 9, - 2 x^{3} - 3 x^{2} - 15, 3 x^{3} - 6 x^{2} + 4 x - 6 a n d 12 x^{2} - 6$
iii) $5 a^{2} - 7 a b + 9 b^{2}, 4 a^{2} - 2 b^{2} - 9 a b - 6, 4 - 3 b^{2} + 2 a b + 6 a^{2} a n d 12 a b - 3 a^{2} - 9 b^{2}$

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Solution

(i)

$2 l + 3 m - 6 n + 4 p$
$3 l - 5 m + 16 n - 4 p$
$12 l - 6 m - 4 n - 2 p$
$l - 2 m + 3 n - 4 p$
---------------------------------
$18 l - 10 m + 9 n - 6 p$

(ii)

$7 x^{3} + 0 + 3 x + 9$
$- 2 x^{3} - 3 x^{2} + 0 - 15$
$3 x^{3} - 6 x^{2} + 4 x - 6$
$0 + 12 x^{2} + 0 - 6$
---------------------------------
$8 x^{3} + 3 x^{2} + 7 x - 18$

(iii)

$5 a^{2} - 7 a b + 9 b^{2}$
$4 a^{2} - 9 a b - 2 b^{2}$
$6 a^{2} + 2 a b - 3 b^{2} + 4$
$- 3 a^{2} + 12 a b - 9 b^{2}$
---------------------------------
$12 a^{2} - 2 a b - 5 b^{2} + 4$

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