Subtract: $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$

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Solution

Subtract $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$
$= (18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q) - (4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10)$
$= 18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q - 4 p^{2} q + 3 p q - 5 p q^{2} + 8 p - 7 q + 10$
$= 28 + 5 p - 18 q + 8 p q - 7 p q^{2} - p^{2} q$

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Question 4 (iii)

Subtract $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10 f r o m 18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q .$

Question 4 (iii)

Subtract $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10 f r o m 18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q .$

(a) Subtract 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3

(b) Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz

Q. (i)Subtract

4 a - 7 a b + 3 b + 12

from

12 a - 9 a b + 5 b - 3

.
(ii)Subtract

3 x y + 5 y z - 7 z x

from

5 x y - 2 y z - 2 z x + 10 x y z

.
(iii)Subtract

4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10

from

18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q

Subtract:
(i) $4 a - 7 a b + 3 b + 12$ from $12 a - 9 a b + 5 b - 3$
(ii) $3 x y + 5 y z - 7 x z$ from $5 x y - 2 y z - 2 x z + 10 x y z$
(iii) $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$

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Subtract: 4p2q−3pq+5pq2−8p+7q−10 from 18−3p−11q+5pq−2pq2+5p2q

Subtract4p2q−3pq+5pq2−8p+7q−10 from 18−3p−11q+5pq−2pq2+5p2q=(18−3p−11q+5pq−2pq2+5p2q)−(4p2q−3pq+5pq2−8p+7q−10)=18−3p−11q+5pq−2pq2+5p2q−4p2q+3pq−5pq2+8p−7q+10=28+5p−18q+8pq−7pq2−p2q

Subtract: $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$