Advertisements
Advertisements
Question
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Advertisements
Solution
(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
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 95 × 105
Find the following product: (x − 11) (x + 4)
Find the following product: (3x + 5) (3x + 11)
Evaluate the following: 109 × 107
Evaluate the following: 103 × 96
Simplify:
(3x + 2y)2 – (3x – 2y)2
Simplify:
(ab – c)2 + 2abc
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Expand the following, using suitable identities.
(x + 3)(x + 7)
