Advertisements
Advertisements
Question
Factorize each of the following expression:
a4 − 16b4
Solution
\[a^4 - 16 b^4 = a^4 - 2^4 b^4 = ( a^2 )^2 - ( 2^2 b^2 )^2 \]
\[ = ( a^2 - 2^2 b^2 )( a^2 + 2^2 b^2 )\]
\[ = [ a^2 - (2b )^2 ]( a^2 + 4 b^2 )\]
\[ = (a - 2b)(a + 2b)( a^2 + 4 b^2 )\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
a4 − (2b + c)4
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
x4 − 625
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
a4 − 16(b − c)4
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following expression:
x3 − x
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
