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:
27x2 − 12y2
Factorize each of the following expression:
125x2 − 45y2
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:
Factorize each of the following expression:
16a4 − b4
Factorize each of the following expression:
a4 − 16(b − c)4
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)
