Advertisements
Advertisements
प्रश्न
Evaluate the following using suitable identity:
(102)3
Advertisements
उत्तर
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b)
∴ (102)3 = (100 + 2)3
= (100)3 + (2)3 + 3(100)(2)(100 + 2)
= 1000000 + 8 + 600(102)
= 1000000 + 8 + 61200
= 1061208
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 8) (x – 10)
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Evaluate the following using identities:
(0.98)2
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
Evaluate:
483 − 303 − 183
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
If x + y = 1 and xy = -12; find:
x2 - y2.
If x + y + z = p and xy + yz + zx = q; find x2 + y2 + z2.
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Using suitable identity, evaluate the following:
9992
Expand the following:
`(1/x + y/3)^3`
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
