Advertisements
Advertisements
प्रश्न
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
Advertisements
उत्तर
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
संबंधित प्रश्न
Using identities, evaluate 992
Use an expansion formula to find the value.
(102)2
Use an expansion formula to find the value.
(97)2
Expand:
(2a – 3b)2
If a + b = 10 and ab = 18, find the value of a2 + b2
Show that (x + 2y)2 – (x – 2y)2 = 8xy
(a + b)2 = a2 + b2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abx + b2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
16x2 + 40x + 25
Factorise p4 + q4 + p2q2.
