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(a) Add: p(p-q),,q(q-r) & r(r-p) (b) Add: 2x(z

Question

(a) Add: $p (p - q), q (q - r)$ & $r (r - p)$
(b) Add: $2 x (z - x - y)$ & $27 (z - y - x)$
(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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Chloe Discussed

(a) Add:

p (p - q), q (q - r)

r (r - p)

(b) Add:

2 x (z - x - y)

27 (z - y - x)

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)

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

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

2 x (z - x - y) + 27 (z - y - x) = 2 x z - 2 x^{2} - 2 x y + 27 z - 27 y - 27 z

4 l (10 n - 3 m + 2 l) - 3 l (l - 4 m + 5 n) = 40 l n - 12 l m + 8 l^{2} - 3 l^{2} + 12 l m - 15 l n = 25 l n + 5 l^{2}

4 c (- a + b + c) - [3 a (a + b + c) - 2 b (a - b + c)] = - 4 a c + 4 b c + 4 c^{2} - [3 a^{2} + 3 ab + 3 a c - 2 ab + 2 b^{2} - 2 b c] = - 4 a c + 4 b c + 4 c^{2} - 3 a^{2} - ab - 3 a c - 2 b^{2} + 2 b c

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Question Text	(a) Add: $p (p - q), q (q - r)$ & $r (r - p)$ (b) Add: $2 x (z - x - y)$ & $27 (z - y - x)$ (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 $4 c (- a + b + c)$
Answer Type	Text solution:1
Upvotes	150