Advertisements
Advertisements
प्रश्न
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
a4 – (a – b)4
Advertisements
उत्तर
We have,
a4 – (a – b)4 = (a2)2 – [(a – b)2]2
= [a2 + (a – b)2][a2 – (a – b)2]
= [a2 + a2 + b2 – 2ab][a2 – (a2 + b2 – 2ab)]
= [2a2 + b2 – 2ab][–b2 + 2ab]
= (2a2 + b2 – 2ab)(2ab – b2)
APPEARS IN
संबंधित प्रश्न
Simplify using identities
(3p + q)(3p – q)
Multiply the following:
(a2 – b2), (a2 + b2)
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
4x2 – 25y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`y^3 - y/9`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
(a – b)2 – (b – c)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4 + x2 – y2
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
The product of two expressions is x5 + x3 + x. If one of them is x2 + x + 1, find the other.
