Question

If the factors of p2 + q2 + 2(pq + qr + rp) are (p + q + m) and (p + q +nr), find the value of m + n.​

Answer 1

Answer:

If the factors of p2 + q2 + 2(pq + qr + rp) are (p + q + m) and (p + q +nr), find the value of m + n.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given If the factors of p2 + q2 + 2(pq + qr + rp) are (p + q + m) and (p + q +nr), find the value of m + n.

• So the equation is p^2 + q^2 + 2 (pq + qr + pr).
• The factors of the equation are (p + q + m) and (p + q + nr).
• We need to find the value for m + n
• Equating the factors to 0 we get
• So p + q + m = 0 and p + q + nr = 0
• So m = - (p + q)
• Similarly p + q + nr = 0
•      So nr = - (p + q)
•      Or n = - (p + q) / r
• Now m + n = - (p + q) – (p + q) / r
•   Or m + n = - (p + q) ( 1 + 1/r)

Reference link will be

https://brainly.in/question/19806594