Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
a4b4 − 81c4
Advertisements
उत्तर
\[a^4 b^4 - 81 c^4 \]
\[ = ( a^2 b^2 )^2 - (9 c^2 )^2 \]
\[ = ( a^2 b^2 + 9 c^2 )( a^2 b^2 - 9 c^2 )\]
\[ = ( a^2 b^2 + 9 c^2 )[(ab )^2 - (3c )^2 ]\]
\[ = ( a^2 b^2 + 9 c^2 )(ab + 3c)(ab - 3c)\]
संबंधित प्रश्न
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
a4b4 − 16c4
Factorize each of the following expression:
x4 − 1
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
