Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Advertisements
उत्तर
\[4(xy + 1 )^2 - 9(x - 1 )^2 \]
\[ = [2(xy + 1) ]^2 - [3(x - 1) ]^2 \]
\[ = [2(xy + 1) - 3(x - 1)][2(xy + 1) + 3(x - 1)]\]
\[ = (2xy + 2 - 3x + 3)(2xy + 2 + 3x - 3)\]
\[ = (2xy - 3x + 5)(2xy + 3x - 1)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
(x + y)2 − (a − b)2
Factorize each of the following expression:
(3x + 4y)4 − x4
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
x4 − 625
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
