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:
27x2 − 12y2
Factorize each of the following expression:
144a2 − 289b2
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
16a4 − b4
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
y2 − 7y + 12
A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
