Advertisements
Advertisements
प्रश्न
Expand the following:
(–x + 2y – 3z)2
Advertisements
उत्तर
(–x + 2y – 3z)2
= (–x)2 + (2y)2 + (–3z)2 + 2(–x)(2y) + 2(y)(–3z) + 2(–3z)(–x) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= x2 + 4y2 + 9z2 – 4xy – 12yz + 6x
APPEARS IN
संबंधित प्रश्न
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
Find the following product:
If a − b = −8 and ab = −12, then a3 − b3 =
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate: (4 − ab) (8 + ab)
Expand the following:
(x - 3y - 2z)2
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
Simplify:
(7a +5b)2 - (7a - 5b)2
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Using suitable identity, evaluate the following:
1033
Expand the following:
`(1/x + y/3)^3`
