Math  /  Algebra

Questionf (pq)2=25(p-q)^{2}=25 and pq=14p q=14, what is the value of (p+q)2(p+q)^{2} ? (A) 25 (B) 36 (C) 53 (D) 81

Studdy Solution
Substitute the known values into the identity.
(pq)2=25 (p-q)^2 = 25 pq=14 pq = 14
Now, substitute these values into the identity:
(p+q)2=25+414 (p+q)^2 = 25 + 4 \cdot 14
(p+q)2=25+56 (p+q)^2 = 25 + 56 (p+q)2=81 (p+q)^2 = 81
Solution: The value of (p+q)2(p+q)^2 is 81\boxed{81}.

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