Advertisements
Advertisements
Question
Factorize each of the following expression:
x4 − 1
Sum
Advertisements
Solution
\[x^4 - 1\]
\[ = ( x^2 )^2 - 1\]
\[ = ( x^2 + 1)( x^2 - 1)\]
\[ = ( x^2 + 1)(x + 1)(x - 1)\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
144a2 − 289b2
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Factorize each of the following expression:
3a5 − 48a3
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
Find the factors of 3m2 + 9m + 6.
