Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
a4 − 16b4
Advertisements
उत्तर
\[a^4 - 16 b^4 = a^4 - 2^4 b^4 = ( a^2 )^2 - ( 2^2 b^2 )^2 \]
\[ = ( a^2 - 2^2 b^2 )( a^2 + 2^2 b^2 )\]
\[ = [ a^2 - (2b )^2 ]( a^2 + 4 b^2 )\]
\[ = (a - 2b)(a + 2b)( a^2 + 4 b^2 )\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
x3 − 144x
Factorize each of the following expression:
(x - 4y)2 − 625
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
a4b4 − 16c4
Factorize each of the following expression:
x4 − 625
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
a4b4 − 81c4
Factorize each of the following expression:
x3 − x
