Question

factories it _ p4 -81​

Answer 1

Given :-

• Factorise it p⁴ - 81

Solution :-

→ p⁴ - 81

• Apply identity
• a² - b² = (a + b)(a - b)

→ (p²)² - (9²)²

→ (p² + 9)(p² - 9)

• Again factorise

→ (p² + 9)[(p)² - (3)²)]

• Apply identity
• a² - b² = (a + b)(a - b)

→ (p² + 9)(p + 9)(p - 9)

Some Identities

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

Answer 2

Answer:

(p²+9)(p+3)(p-3)

Step-by-step explanation:

p⁴-81

(p²)²-(9)²

(p²+9)(p²-9) {a²-b² = (a+b)(a-b)

(p²+9)(p²-3²)

(p²+9)(p+3)(p-3) {a²-b² = (a+b)(a-b)

Hope it helps...

It was pleasure answering you...