Advertisements
Advertisements
Question
Factorize each of the following expression:
Advertisements
Solution
\[a^4 - \frac{1}{b^4}\]
= (a2)2 - 1/(b2)2
= a2- 1/b2a2 + 1/b2
= a - 1/ba + 1/ba2 + 1/b2
RELATED QUESTIONS
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
x3 − 144x
Factorize each of the following expression:
x5 − 16x3
Factorize each of the following expression:
x4 − 1
Factorize each of the following expression:
a4 − 16(b − c)4
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p + 8
Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21
Factorize each of the following quadratic polynomials by using the method of completing the square:
y2 − 7y + 12
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]
