Advertisements
Advertisements
प्रश्न
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Advertisements
उत्तर
Taking L.H.S. = (a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2)
= (a4 – b4 + b4 – c4 + c4 – a4) ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 0
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Expand: 102 x 98
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(p + 2)(p – 2)
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
9 – 4y2
Factorise: 4x2 – 9y2
Multiply the following:
(a2 – b2), (a2 + b2)
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).
`x^2/9 - y^2/25`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 625y4
