Advertisements
Advertisements
Question
Factorise.
x4 − (x − z)4
Sum
Advertisements
Solution
x4 − (x − z)4
= (x2)2 − [(x − z)2]2
Using the identity a2 − b2 = (a − b) (a + b)
= [x2 − (x − z)2] [x2 + (x − z)2]
= [x − (x − z)] [x + (x − z)] [x2 + (x − z)2]
= z (2x − z) [x2 + x2 − 2xz + z2]
= z (2x − z) (2x2 − 2xz + z2)
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.
49y2 + 84yz + 36z2
Factorise.
9x2y2 − 16
Factorise.
(x2 − 2xy + y2) − z2
Factorise.
25a2 − 4b2 + 28bc − 49c2
Factorise the expression.
2x3 + 2xy2 + 2xz2
Factorise the expression.
am2 + bm2 + bn2 + an2
Factorise the expression.
10ab + 4a + 5b + 2
Factorise.
a4 − 2a2b2 + b4
Factorise m4 – 256
Factorise the following expression:
2a² + 4a²b + 8a²c
