Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
xy9 − yx9
Advertisements
उत्तर
\[x y^9 - y x^9 \]
\[ = xy( y^8 - x^8 )\]
\[ = xy[( y^4 )^2 - ( x^4 )^2 ]\]
\[ = xy( y^4 + x^4 )( y^4 - x^4 )\]
\[ = xy( y^4 + x^4 )[( y^2 )^2 - ( x^2 )^2 ]\]
\[ = xy( y^4 + x^4 )( y^2 + x^2 )( y^2 - x^2 )\]
\[ = xy( y^4 + x^4 )( y^2 + x^2 )(y + x)(y - x)\]
संबंधित प्रश्न
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
x4 − 1
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
a4b4 − 81c4
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p + 8
Factorize each of the following quadratic polynomials by using the method of completing the square:
4y2 + 12y + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
x2 + 12x + 20
