Advertisements
Advertisements
प्रश्न
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Advertisements
उत्तर
(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
संबंधित प्रश्न
Factorise the following using appropriate identity:
`x^2 - y^2/100`
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Evaluate the following using suitable identity:
(102)3
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
If a − b = 5 and ab = 12, find the value of a2 + b2
Use the direct method to evaluate :
(4+5x) (4−5x)
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
Simplify:
(2x + y)(4x2 - 2xy + y2)
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
