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.
a2 + 8a + 16
Factorise the following expression.
a4 + 2a2b2 + b4
Factorise.
16x5 − 144x3
Factorise.
9x2y2 − 16
Factorise the expression.
ax2 + bx
Factorise the expression.
am2 + bm2 + bn2 + an2
Factorise.
a4 − 2a2b2 + b4
Factorise the given expression.
q2 − 10q + 21
Factorise the following expression:
2a² + 4a²b + 8a²c
Factorise the following by taking out the common factor
3y3 – 48y
