Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
a4b4 − 16c4
Advertisements
उत्तर
\[a^4 b^4 - 16 c^4 \]
\[ = [( a^2 b^2 )^2 - (4 c^2 )^2 ]\]
\[ = ( a^2 b^2 + 4 c^2 )( a^2 b^2 - 4 c^2 )\]
\[ = ( a^2 b^2 + 4 c^2 )[(ab )^2 - (2c )^2 ]\]
\[ = ( a^2 b^2 + 4 c^2 )(ab + 2c)(ab - 2c)\]
संबंधित प्रश्न
Factorize each of the following expression:
16x2 − 25y2
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
p2q2 − p4q4
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 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:
x2 + 12x + 20
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 − 14a − 51
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
