Question

p(p-q), qq -r) and r(r-p)​

Answer 1

Step-by-step explanation:

❍ Question:-

$p \: (p - q) \: q(q - r) \: and \: r( r - p)$

❍ Simplyfying expressions:-

$\: \: \: \: p \: (p \times q) \\ = p \times p - p \times q \\ = p {2} - pq {2}$

╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍

$\: \: \: \: p (q - r) \\ = q \times q - q \times r \\ = q {2} - q {r}$

╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍

$\: \: \: \: r(r - p) \\ = r \times r - r \times p \\ = r{2} - rp$

╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍

❍ Adding expressions:-

$p {2} - pq + p{2} - q{2} - qr + r {2} - rp \\ = p{2} - pq + q{2} - q{r} + r{2} - rp$

$so \: our \: answer \: is \: p{2} + q{2} + r{2} - pq - qr - rp$

Hope this helps:-)