Advertisements
Advertisements
Question
Evaluate :
`[ 5.67 xx 5.67 xx 5.67 + 4.33 xx 4.33 xx 4.33 ]/[5.67 xx 5.67 - 5.67 xx 4.33 + 4.33 xx 4.33]`
Sum
Solution
Let a = 5.67 and b = 4.33
Then,
`[ 5.67 xx 5.67 xx 5.67 + 4.33 xx 4.33 xx 4.33 ]/[5.67 xx 5.67 - 5.67 xx 4.33 + 4.33 xx 4.33]`
= `[ 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
= 5.67 + 4.33
= 10
shaalaa.com
Method of Factorisation : the Sum Or Difference of Two Cubes
Is there an error in this question or solution?
