Advertisements
Advertisements
Question
Factorise.
p4 − 81
Sum
Advertisements
Solution
p4 − 81
= (p2)2 − (9)2
Using the identity a2 − b2 = (a − b) (a + b)
= (p2 − 9) (p2 + 9)
= (p2 − 32) (p2 + 9)
Again, using a2 − b2 = (a − b) (a + b)
= (p − 3) (p + 3) (p2 + 9)
shaalaa.com
Is there an error in this question or solution?
Chapter 12: Factorisation - EXERCISE 12.2 [Page 152]
APPEARS IN
RELATED QUESTIONS
Factorise the following expression.
25m2 + 30m + 9
Factorise the following expression.
121b2 − 88bc + 16c2
Factorise.
(x2 − 2xy + y2) − z2
Factorise the expression.
am2 + bm2 + bn2 + an2
Factorise the expression.
5y2 − 20y − 8z + 2yz
Factorise.
a4 − b4
Factorise.
x4 − (y + z)4
Factorise the following expression.
p2 + 6p + 8
Factorise the given expression.
p2 + 6p − 16
Factorise 4y2 – 12y + 9
