Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
x8 − 1
Advertisements
उत्तर
\[x^8 - 1\]
\[ = ( x^4 )^2 - 1^2 \]
\[ = ( x^4 - 1)( x^4 + 1)\]
\[ = [( x^2 )^2 - 1^2 ]( x^4 + 1)\]
\[ = ( x^2 - 1)( x^2 + 1)( x^4 + 1)\]
\[ = ( x^2 - 1^2 )( x^2 + 1)( x^4 + 1)\]
\[ = (x - 1)(x + 1)( x^2 + 1)( x^4 + 1)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
36l2 − (m + n)2
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
(x - 4y)2 − 625
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
x4 − 1
Factorize each of the following expression:
a4b4 − 81c4
Factorize each of the following expression:
x3 − x
A mason uses the expression x2 + 6x + 8 to represent the area of the floor of a room. If the decides that the length of the room will be represented by (x + 4), what will the width of the room be in terms of x?
