If `alpha,beta` are roots of `x^2-px+q=0` then find the quadratic equation whose roots are `((alpha^2-beta^2)(alpha^3-beta^3))` and `alpha^2beta^3+alpha^3beta^2`

Explanation

To find the quadratic equation whose roots are \( (\alpha^2 - \beta^2)(\alpha^3 - \beta^3) \) and \( \alpha^2 \beta^3 + \alpha^3 \beta^2 \), given that \( \alpha \) and \( \beta \) are the roots of the equation \( x^2 - px + q = 0 \), we can follow these steps:

### Step 1: Identify the roots and their relationships
Given the quadratic equation \( x^2 - px + q = 0 \), we know:
- The sum of the roots \( \alpha + \beta = p \)
- The product of the roots \( \alpha \beta = q \)

### Step 2: Calculate \( \alpha^2 - \beta^2 \) and \( \alpha^3 - \beta^3 \)
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