Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
a4 − 16b4
Advertisements
उत्तर
\[a^4 - 16 b^4 = a^4 - 2^4 b^4 = ( a^2 )^2 - ( 2^2 b^2 )^2 \]
\[ = ( a^2 - 2^2 b^2 )( a^2 + 2^2 b^2 )\]
\[ = [ a^2 - (2b )^2 ]( a^2 + 4 b^2 )\]
\[ = (a - 2b)(a + 2b)( a^2 + 4 b^2 )\]
संबंधित प्रश्न
Factorize each of the following expression:
144a2 − 289b2
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
(x + y)2 − (a − b)2
Factorize each of the following expression:
(3x + 4y)4 − x4
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
y2 − 7y + 12
