Answer :
Answer:
Let's denote the roots of the equation as \( r_1 = p - q \) and \( r_2 = p + q \).
The general form of a quadratic equation with roots \( r_1 \) and \( r_2 \) is given by:
\[ (x - r_1)(x - r_2) = 0 \]
Substitute \( r_1 = p - q \) and \( r_2 = p + q \) into the equation:
\[ (x - (p - q))(x - (p + q)) = 0 \]
Expand and simplify the equation:
\[ (x - p + q)(x - p - q) = 0 \]
\[ x^2 - px + qx - px + p^2 - pq - qx + pq - q^2 = 0 \]
\[ x^2 - 2px + p^2 - q^2 = 0 \]
Thus, the quadratic equation whose roots are \( p - q \) and \( p + q \) is:
\[ x^2 - 2px + (p^2 - q^2) = 0 \]