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Question

# If p = 3, q = 5, find the values of the following algebraic expressions. (1) p2 + q2 (2) p2 – 2pq + q2 (3) qp + 3q (4) p2 + 2p + q

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Solution

## (1) p2 + q2 Substituting the values of p and q in the given algebraic expression, we get: (3)2 + (5)2 = 9 + 25 (Solving the simple brackets first) = 34 (2) p2 − 2pq + q2 Substituting the values of p and q in the given algebraic expression, we get: (3)2 − 2 × 3 × 5 + (5)2 = 9 − 2 × 3 × 5 + 25 (Solving the simple brackets first) = 9 − 30 + 25 (Performing multiplication first) = 34 − 30 (Performing addition first) = 4 (3) qp + 3q Substituting the values of p and q in the given algebraic expression, we get: 5 × 3 + 3 × 5 = 15 + 15 (Performing multiplication first) = 30 (4) p2 + 2p + q Substituting the values of p and q in the given algebraic expression, we get: (3)2 + 2 × 3 + 5 = 9 + 2 × 3 + 5 (Solving the simple brackets first) = 9 + 6 + 5 (Performing multiplication first) = 20

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