Advertisements
Advertisements
प्रश्न
Evaluate of the following:
1043 + 963
Advertisements
उत्तर
In the given problem, we have to find the value of numbers
Given 1043 + 963
We can write 1043 + 963 as `(100 + 4)^3 + (100 - 4)^3`
We shall use the identity `(a+b)^3 + (a-b)^3 = 2 [a^3 + 3ab^2]`
Here a= 100 , b = 4
\[{104}^3 + {96}^3 = \left( 100 + 4 \right)^3 + \left( 100 - 4 \right)^3\]
`= 2 [100^3 + 3 (100)(4)^2]`
` = 2 [1000000 + 300 xx 16]`
` = 2 [1000000 +4800]`
` = 2 [1004800]`
` = 2009600`
Hence the value of `104^3 + 96^3`is 2009600.
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Expand the following, using suitable identity:
(3a – 7b – c)2
Write the following cube in expanded form:
(2a – 3b)3
Evaluate the following using identities:
`(2x+ 1/x)^2`
Write in the expanded form: (ab + bc + ca)2
Simplify (2x + p - c)2 - (2x - p + c)2
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Evaluate of the following:
(9.9)3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
Find the following product:
If x = −2 and y = 1, by using an identity find the value of the following
Use identities to evaluate : (998)2
If x + y = 9, xy = 20
find: x2 - y2.
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Using suitable identity, evaluate the following:
101 × 102
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
