Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
x8 − 1
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:
3a5 − 48a3
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
x5 − 16x3
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
x2 + 12x + 20
Factorise the following expressions
4x2 – 8x + 3
Factorise: (7y2 – 19y – 6)
