Advertisements
Advertisements
Question
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Sum
Advertisements
Solution
\[(3 + 2a )^2 - 25 a^2 \]
\[ = (3 + 2a )^2 - (5a )^2 \]
\[ = [(3 + 2a) - 5a][(3 + 2a) + 5a]\]
\[ = (3 + 2a - 5a)(3 + 2a + 5a)\]
\[ = (3 - 3a)(3 + 7a)\]
\[ = 3(1 - a)(3 + 7a)\]
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Factorize each of the following expression:
3a5 − 48a3
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
\[a^4 - \frac{1}{b^4}\]
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
x4 − (2y − 3z)2
Factorize each of the following expression:
a4b4 − 81c4
Find the factors of 3m2 + 9m + 6.
