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:
144a2 − 289b2
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
a4 − 16(b − c)4
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21
Obtain the factors of z2 – 4z – 12.
