Advertisements
Advertisements
Question
Evaluate of the following:
463+343
Advertisements
Solution
In the given problem, we have to find the value of numbers
Given 463+343
We can write 463+343 as ` (40 + 6)^3 + (40 - 6)^3`
We shall use the identity `(a+b)^3 + (a-b)^3 = 2[a^3 + 3ab^2]`
Here a= 40 , b = 6
\[{46}^3 + {34}^3 = \left( 40 + 6 \right)^3 + \left( 40 - 6 \right)^3\]
` = 2[40^3 + 3(6) (40) ]`
`= [64000+4320]`
`= 2[683220]`
` =136640 `
Hence the value of `46^3 + 34^3 `is 136640.
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Write in the expanded form: (ab + bc + ca)2
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Evaluate: 203 × 197
Evaluate: 20.8 × 19.2
Expand the following:
(m + 8) (m - 7)
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
Which one of the following is a polynomial?
Expand the following:
`(4 - 1/(3x))^3`
