Advertisements
Advertisements
प्रश्न
Using suitable identity, evaluate the following:
1033
Advertisements
उत्तर
1033 = (100 + 3)3
= (100)3 + (3)3 + 3 × 10 × 3 × (100 + 3) ...[Using identity, (a + b)3 = a3 + b3 + 3ab(a + b)]
= 1000000 + 27 + 900(103)
= 1000027 + 92700
= 1092727
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Factorise the following:
64m3 – 343n3
Factorise:
27x3 + y3 + z3 – 9xyz
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Give possible expression for the length and breadth of the following rectangle, in which their area is given:
| Area : 35y2 + 13y – 12 |
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a + b = 7 and ab = 12, find the value of a2 + b2
If a − b = 5 and ab = 12, find the value of a2 + b2
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
(a − b)3 + (b − c)3 + (c − a)3 =
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
Use the direct method to evaluate :
(4+5x) (4−5x)
If x + y = 1 and xy = -12; find:
x2 - y2.
Simplify:
(1 + x)(1 - x)(1 - x + x2)(1 + x + x2)
Without actually calculating the cubes, find the value of:
`(1/2)^3 + (1/3)^3 - (5/6)^3`
