Advertisements
Advertisements
Question
Factorize each of the following expression:
x4 − 1
Solution
\[x^4 - 1\]
\[ = ( x^2 )^2 - 1\]
\[ = ( x^2 + 1)( x^2 - 1)\]
\[ = ( x^2 + 1)(x + 1)(x - 1)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
36l2 − (m + n)2
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Factorize each of the following expression:
x5 − 16x3
Factorize each of the following expression:
Factorize each of the following expression:
256x5 − 81x
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
