Advertisements
Advertisements
Question
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Advertisements
Solution
\[9(a - b )^2 - 100(x - y )^2 \]
\[ = [3(a - b) ]^2 - [10(x - y) ]^2 \]
\[ = [3(a - b) - 10(x - y)][3(a - b) + 10(x - y)]\]
\[ = (3a - 3b - 10x + 10y)(3a - 3b + 10x - 10y)\]
RELATED QUESTIONS
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
(x + y)2 − (a − b)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:
p2q2 − p4q4
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p + 8
Factorize each of the following quadratic polynomials by using the method of completing the square:
4y2 + 12y + 5
