Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
x8 − 1
Advertisements
उत्तर
\[x^8 - 1\]
\[ = ( x^4 )^2 - 1^2 \]
\[ = ( x^4 - 1)( x^4 + 1)\]
\[ = [( x^2 )^2 - 1^2 ]( x^4 + 1)\]
\[ = ( x^2 - 1)( x^2 + 1)( x^4 + 1)\]
\[ = ( x^2 - 1^2 )( x^2 + 1)( x^4 + 1)\]
\[ = (x - 1)(x + 1)( x^2 + 1)( x^4 + 1)\]
संबंधित प्रश्न
Factorize each of the following expression:
(3x + 4y)4 − x4
Factorize each of the following expression:
a4b4 − 16c4
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p − 16
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
Factorise the following expressions
4x2 – 8x + 3
Factorise: (7y2 – 19y – 6)
