Advertisements
Advertisements
Question
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Advertisements
Solution
\[4(xy + 1 )^2 - 9(x - 1 )^2 \]
\[ = [2(xy + 1) ]^2 - [3(x - 1) ]^2 \]
\[ = [2(xy + 1) - 3(x - 1)][2(xy + 1) + 3(x - 1)]\]
\[ = (2xy + 2 - 3x + 3)(2xy + 2 + 3x - 3)\]
\[ = (2xy - 3x + 5)(2xy + 3x - 1)\]
RELATED QUESTIONS
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
(2a − b)2 − 16c2
Factorize each of the following expression:
x3 − 144x
Factorize each of the following expression:
(x - 4y)2 − 625
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
2a5 − 32a
