Advertisements
Advertisements
Question
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
Advertisements
Solution
Taking L.H.S. = (a + b)(a + b)(a + b)
= (a + b)(a + b)2
= (a + b)(a2 + b2 + 2ab) ...[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
RELATED QUESTIONS
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Use a suitable identity to get the following products.
(7a − 9b) (7a − 9b)
Find the following squares by suing the identities
(0.4p − 0.5q)2
Using identities, evaluate 1022
Using identities, evaluate 297 × 303
Expand the following square, using suitable identities
(mn + 3p)2
Factorise the following using suitable identity
a2 + 6ab + 9b2 – c2
If a + b = 5 and a2 + b2 = 13, then ab = ?
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
