Question

If p2+ q2 = 25 and pq =12, find the value of 2(p+q)2 + 3(p−q)2

Answer 1

Answer:

Step-by-step explanation:

p² + q² = 25

pq = 12

p² + q² = (p - q)² + 2pq

25 = (p - q)² + 2 x 12

1 = (p - q)²

also

p² + q² = (p + q)² - 2pq

25 = (p + q)² - 2x12

25 + 24 = (p + q)²

(p + q)² = 49

2(p + q)² + 3(p - q)²

= 2 x 49 + 3 x 1

= 98 + 3

= 101

Answer 2

Answer:

Mate Here's your Answer

Step-by-step explanation:

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