Question

Find the value of algebraic expression (p2+5pq)+6-pq+2q2
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Answer 1

Answer:

(p + q)² + 6

Step-by-step explanation:

(p² + 5pq) + 6 - pq + 2q²

= p² + 5pq+ 6 - pq + 2q²

= p² + 5pq - pq + 2q² + 6

= p² + 4pq + 2q² + 6

= p² + 2×p×2q + 2q² + 6

= (p + q)² + 6 [According to (a+b)² = a² + 2ab + b²]

Hope it helps. Thank You!