Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4
Advertisements
Solution
We have,
x4 – y4 = (x2)2 – (y2)2
= (x2 + y2)(x2 – y2)
= (x2 + y2)(x + y)(x – y)
APPEARS IN
RELATED QUESTIONS
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
9 – 4y2
Simplify (5x – 3y)2 – (5x + 3y)2
672 – 372 = (67 – 37) × ______ = ______.
(a + b)(a – b) = a2 – b2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`(x^3y)/9 - (xy^3)/16`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`1/36a^2b^2 - 16/49b^2c^2`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – (3y + z)2
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Find the value of a, if pqa = (3p + q)2 – (3p – q)2
The product of two expressions is x5 + x3 + x. If one of them is x2 + x + 1, find the other.
