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Factorise: p4– 81
- a)(p – 3) (p + 3) (p2+ 9)
- b)(p + 3) (p2+ 9)
- c)(p – 3) (p + 3)
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Factorise: p4– 81a)(p – 3) (p + 3) (p2+9)b)(p + 3) (p2+9)c...
We have p4 - 81 = (p2)2 - (9)2
Now using a2 - b2 = (a + b)(a - b), we have
(p2)2 - (9)2 = (p2 + 9)(p2 -9)
We can factorise p2 - 9 further as
p2 - 9 = (p)2 - (3)2
= (p + 3)(p - 3)
∴ p4 - 81 = (p + 3)(p - 3)(p2 + 9)
Most Upvoted Answer
Factorise: p4– 81a)(p – 3) (p + 3) (p2+9)b)(p + 3) (p2+9)c...
P4 cannot be factorised any further as it is already in its simplest form.
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Factorise: p4– 81a)(p – 3) (p + 3) (p2+9)b)(p + 3) (p2+9)c...
D) option simply open it like other questions
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