Perform these steps:
1. Add any two numbers.
2. Multiply the result by half of their sum.
Write the algebraic expression for this procedure and prove that it gives half the square of the sum of the two numbers.
1. Add any two numbers.
2. Multiply the result by half of their sum.
Write the algebraic expression for this procedure and prove that it gives half the square of the sum of the two numbers.
Answer:
Let the two numbers be \(p\) and \(q\).
Sum of the two numbers \(=\) .
Half of the sum of the two numbers \(=\)
Half of the square of the sum of the two numbers \(=\)
Thus, .