Advertisements
Advertisements
प्रश्न
Verify the following:
(a – b)(a – b)(a – b) = a3 – 3a2b + 3ab2 – b3
उत्तर
Taking L.H.S. = (a – b)(a – b)(a – b)
= (a – b)(a – b)2
= (a – b)(a2 – 2ab + b2) ...[Using the identity, (a – b)2 = a2 – 2ab + b2]
= a(a2 – 2ab + b2) – b(a2 – 2ab + b2)
= a3 – 2a2b + ab2 – ba2 + 2ab2 – b3
= a3 – 3a2b + 3ab2 – b3 ...[Adding like terms]
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Expand `("a"-1/"a")^2`
Expand: (98)2
Factors of 4 – m2 are
The factors of x2 – 6x + 9 are
Square of 9x – 7xy is ______.
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
p2y2 – 2py + 1
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
`x^2/4 - 2x + 4`
Factorise the following.
y2 + 4y – 21
Subtract b(b2 + b – 7) + 5 from 3b2 – 8 and find the value of expression obtained for b = – 3.
If `x - 1/x = 7` then find the value of `x^2 + 1/x^2`.
