Advertisements
Advertisements
प्रश्न
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Advertisements
उत्तर
(x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
(a + b + c) (a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc .
∴ (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
= x3 + (–2y)3 + (3z)3 – 3(x)(–2y)(3z)
= x3 – 8y3 + 27z3 + 18xyz
APPEARS IN
संबंधित प्रश्न
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Find the following product: (3x + 5) (3x + 11)
Evaluate the following: 109 × 107
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Using suitable identities, evaluate the following.
(52)2
Using suitable identities, evaluate the following.
(49)2
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
52 × 53
