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:
27x2 − 12y2
Factorize each of the following expression:
144a2 − 289b2
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:
25x4y4 − 1
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Factorize each of the following expression:
xy9 − yx9
Factorize each of the following quadratic polynomials by using the method of completing the square:
y2 − 7y + 12
Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)
