Advertisements
Advertisements
प्रश्न
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
उत्तर
(2a + 36 + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 12bc – 8ca)
We know that
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 × 3 abc
∴ (2a + 36 + 4c)(4a2 + 9b2 + 16 c2 – 6 ab – 12 bc – 8 ca)
= (2a)3 + (3b)3 + (4c)3 – 3 × 2a × 36 × 4c
= 8a3 + 27b3 + 64c3 – 72 abc
APPEARS IN
संबंधित प्रश्न
Find the following product: (x + 7) (x − 5)
Evaluate the following: 994 × 1006
Evaluate the following by using identities:
10013
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Expand the following, using suitable identities.
(a2 + b2)2
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
47 × 53
