Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Advertisements
उत्तर
\[(3 + 2a )^2 - 25 a^2 \]
\[ = (3 + 2a )^2 - (5a )^2 \]
\[ = [(3 + 2a) - 5a][(3 + 2a) + 5a]\]
\[ = (3 + 2a - 5a)(3 + 2a + 5a)\]
\[ = (3 - 3a)(3 + 7a)\]
\[ = 3(1 - a)(3 + 7a)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
x4 − 625
Factorize each of the following expression:
x4 − 1
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
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:
p2 + 6p − 16
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
