Question

3p (p+q+r)-6q(2p -8 qp +3r ) 2r (4p+q-2r
answer in llon​

Answer 1

Question :- 3p(p+q+r) - 6q(2p -8 qp +3r ) + 2r(4p+q-2r)

answer in long .

Solution :-

→ 3p(p + q + r) - 6q(2p - 8qp + 3r) + 2r(4p + q - 2r)

→ 3p² + 3pq + 3pr - 12pq + 48pq² - 18qr + 8pr + 2qr - 4r²

→ 3p² + 3pq - 12pq + 3pr + 8pr + 48pq² - 18qr + 2qr - 4r²

→ 3p² - 4r² + 48pq² - 9pq + 11pr - 16qr

Learn more :-

Let a, b and c be non-zero real numbers satisfying (a³)/(b³ + c³) + (b³)/(c³ + a³) + (c³)/(a³ + b³)

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if a²+ab+b²=25

b²+bc+c²=49

c²+ca+a²=64

Then, find the value of

(a+b+c)² - 100 = __

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Answer 2

Given:

3p (p+q+r) -6q(2p -8 qp +3r ) +2r(4p+q-2r)

Solution:

3p (p+q+r) -6q(2p -8 qp +3r ) +2r (4p+q-2r)

=> 3p² +3pq +3pr -12pq +48pq² -18qr +8pr +2qr -4r²

=> 3p² +3pq -12pq +3pr +8pr -18qr +2qr +48pq² -4r²

=> 3p² -9pq +11pr -16qr +48pq² -4r²

=> 3p² -4r² +48pq² -9pq -16qr +11pr

Hence, the required answer is 3p² -4r² +48pq² -9pq -16qr +11pr

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