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Addition and Subtraction of like Terms

Question 5aAd...

Question

Question 5(a)
Add :p ( p - q ), q (q - r ) and r (r - p ).

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Solution

$p (p - q) + q (q - r) + r (r - p) = p^{2} - p q + q^{2} - q r + r^{2} - r p$
$= p^{2} + q^{2} + r^{2} - p q - q r - r p$

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Question 5(a)
Add :p ( p - q ), q (q - r ) and r (r - p ).

5 a + 3 b, a - 2 b

3 a + 5 b

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2 x (z - x - y)

27 (z - y - x)

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(a)Add: $p (p - q), q (q - r)$ and $r (r - p)$

(b)Add: $2 x (z - x - y)$ and $2 y (z - y - x)$

(c)Subtract: $3 l (l - 4 m + 5 n)$ from $4 l (10 n - 3 m + 2 l)$

(d)Subtract: $3 a (a + b + c) - 2 b (a - b + c)$ from $4 c (- a + b + c)$

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