Advertisements
Advertisements
Question
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Advertisements
Solution
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
= x(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx) + 2y(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
= x3 + 4xy2 + 9xz2 - 2x2y - 6xyz - 3zx2 + 2x2y + 8y3 + 18yz2 - 4xy2 - 122z - 6xyz + 3x2z + 12y2z + 27z3 - 6xyz - 18yz2 - 9xz2
= x3 + 8y3 + 27z3 - 18xyz.
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(x + 2y + 4z)2
Evaluate the following using suitable identity:
(102)3
Find the following product:
Evalute : `((2x)/7 - (7y)/4)^2`
If a + b = 7 and ab = 10; find a - b.
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate :
(2a+3) (2a−3)
Simplify by using formula :
(1 + a) (1 - a) (1 + a2)
Factorise the following:
9y2 – 66yz + 121z2
If a + b + c = 5 and ab + bc + ca = 10, then prove that a3 + b3 + c3 – 3abc = – 25.
