Advertisements
Advertisements
Question
If `bb("a"/"b" = 2/3)` then find the values of the following expression
`[a^3 + b^3]/b^3`
Solution
`a/b = 2/3`
∴ `a^3/b^3 = 8/27` ...(Cubing both sides)
Applying componendo, we get
`[a^3 + b^3]/b^3 = [8 + 27]/27`
`[a^3 + b^3]/b^3 = 35/27`
APPEARS IN
RELATED QUESTIONS
If `bb(a/b = 7/3)` then find the value of the following ratio.
`(2a^2 + 3b^2)/(2a^2 - 3b^2)`
If `bb(a/b = 7/3)` then find the value of the following ratio.
`(7a + 9b)/(7a - 9b)`
If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of following ratio.
`a/b`
If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7 )` then find the value of the following ratio.
`(7a - 3b)/ (7a + 3b)`
If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of following ratio.
`[ b^3 - 2a^3]/[ b^3 + 2a^3]`
5m - n = 3m + 4n then find the value of the following expression.
`["m"^2 + "n"^2]/["m"^2 - "n"^2]`
5m - n = 3m + 4n then find the value of the following expression.
`(3m + 4n)/(3m - 4n)`
If `bb(a/b = 2/3)` then find the value of the following expression.
`[ 4a + 3b ]/( 3b )`
If `bb(a/b = 2/3)` then find the value of the following expression.
`[5a^2 + 2b^2]/[ 5a^2 - 2b^2]`
If `bb(a/b = 2/3)` then find the value of the following expression.
`[ 7b - 4a]/[ 7b + 4a ]`