Advertisements
Advertisements
Question
Factorize each of the following expression:
a4b4 − 81c4
Solution
\[a^4 b^4 - 81 c^4 \]
\[ = ( a^2 b^2 )^2 - (9 c^2 )^2 \]
\[ = ( a^2 b^2 + 9 c^2 )( a^2 b^2 - 9 c^2 )\]
\[ = ( a^2 b^2 + 9 c^2 )[(ab )^2 - (3c )^2 ]\]
\[ = ( a^2 b^2 + 9 c^2 )(ab + 3c)(ab - 3c)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
16a4 − b4
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
Factorise the following expressions
4x2 – 8x + 3
