simplify (p+q-2r)(2p-q+r)-4qr
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Answered by
107
Answer:
Answer
(p+q−2r)(2p−q+r)−4qr = p(2p−q+r)+q(2p−q+r−2r(2p−q+r−4qr=2p2−pq+pr+2pq−q
2 +qr−4pr+2qr−2r 2 −4qr = 2p
2−q2−2r2+pq−3pr−2qr
Answered by
51
Answer:
So the value of the given term is 2p² - q² - 2r² + pq - 3pr - qr..
Given:
The term (p+q-2r)(2p-q+r)-4qr
To find: The value of the given term.
Solution:
Now we have given the term (p+q-2r)(2p-q+r)-4qr.
Expanding it, we get:
2p² - pq + pr + 2pq - q² + qr - 4rp + 2rq - 2r² - 4qr
Now taking common terms together, we get:
- pq + 2pq + pr - 4rp + qr + 2rq - 4qr + 2p² - q² - 2r²
Now solving it, we get:
2p² - q² - 2r² + pq - 3pr - qr
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