Advertisements
Advertisements
Question
Evaluate :
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`
Advertisements
Solution
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`
Let 0.8 = a and 0.5 = b
Then, the given expression becomes
`[ a xx a xx a + b xx b xx b]/[a xx a - a xx b + b xx b]`
= `[ a^3 + b^3 ]/[a^2 - ab + b^2 ]`
= `[( a + b )( a^2 - ab + b^2 )]/[a^2 - ab + b^2]`
= a + b
= 0.8 + 0.5
= 1.3
APPEARS IN
RELATED QUESTIONS
Simplify : ( x - 6 )( x - 4 )( x + 2 )
Simplify : ( x - 6 )( x - 4 )( x - 2 )
Simplify: (x + 6) (x − 4) (x − 2)
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`( 3x - 5/x )( 9x^2 + 15 + 25/x^2)`
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`(a/3 - 3b)(a^2/9 + ab + 9b^2)`
Find : (a + b)(a + b)
Find : (a - b)(a - b)(a - b)
If a + b = 11 and a2 + b2 = 65; find a3 + b3.
If x + 5y = 10; find the value of x3 + 125y3 + 150xy − 1000.
Evaluate :
`[1.2 xx 1.2 + 1.2 xx 0.3 + 0.3 xx 0.3 ]/[ 1.2 xx 1.2 xx 1.2 - 0.3 xx 0.3 xx 0.3]`
