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:
x8 − 1
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
x3 − 144x
Factorize each of the following expression:
x5 − 16x3
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
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:
y2 − 7y + 12
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
