Advertisements
Advertisements
Question
Factorize each of the following expression:
75a3b2 - 108ab4
Advertisements
Solution
\[75 a^3 b^2 - 108a b^4 \]
\[ = 3a b^2 (25 a^2 - 36 b^2 )\]
\[ = 3a b^2 [(5a )^2 - (6b )^2 ]\]
\[ = 3a b^2 (5a - 6b)(5a + 6b)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
(3 + 2a)2 − 25a2
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:
p2q2 − p4q4
Factorize each of the following expression:
a4b4 − 16c4
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21
