Question

Solve by factorising "q(r-s)² -p(s-r) +3r-3s"

Answer 1

✧ Given ✧

"q(r-s)² -p(s-r) +3r-3s"

factories it

✧ Solution ✧

→ q(r-s)² -p(s-r) +3r-3s

→ q(r - s)² - p(s - r) + 3(r - s)

→ (r - s) [q(r - s) - p(s - r) + 3]

→ (r - s) [qr - qs - ps + pr + 3]

✧ Some Identities ✧

• (a+b)² = a² + b² +2ab
• (a-b)² = a² + b² - 2ab
• (a+b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ -b³ - 3ab(a-b)
• a² - b² = (a+b)(a-b)
• a³ + b³ = (a+b)(a² - ab +b²)
• a³ - b³ = (a-b)(a² + ab +b²)

Answer 2

Answer:

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