Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – 1
Advertisements
Solution
We have,
x4 – 1 = (x2)2 – 1
= (x2 + 1)(x2 – 1)
= (x2 + 1)(x + 1)(x – 1)
APPEARS IN
RELATED QUESTIONS
The product of (x + 5) and (x – 5) is ____________
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(4 – mn)(mn + 4)
(a + b)(a – b) = a2 – b2
The value of p for 512 – 492 = 100p is 2.
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x2 – 9
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
(a – b)2 – (b – c)2
The sum of (x + 5) observations is x4 – 625. Find the mean of the observations.
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Find the value of `(198 xx 198 - 102 xx 102)/96`
The product of two expressions is x5 + x3 + x. If one of them is x2 + x + 1, find the other.
