Advertisements
Advertisements
Question
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
Advertisements
Solution
`(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
`= (155^3 - 55^3)/(155^2 + 155 xx 55 = 55^2)`
`= ((155 - 55)(155^2 + 155 xx 55 + 55^2))/(155^2 + 155 xx 55 + 55^2)` `[∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`
= (155 - 55) = 100
APPEARS IN
RELATED QUESTIONS
Given possible expressions for the length and breadth of the rectangle having 35y2 + 13y – 12 as its area.
Factorize the following expressions
1- 27a3
Factorize the following expressions:
a12 + b12
If x − y = 7 and xy = 9, find the value of x2 + y2
Factorize : x2 − 1 − 2a − a2
Divide:
n2 − 2n + 1 by n − 1
Divide: 8a2 + 4a - 60 by 2a - 5
Express the following as an algebraic expression:
Sum of p and 2r – s minus sum of a and 3n + 4x.
Construct a formula for the following:
Total wages (₹ W) of a man whose basic wage is (₹ B) for t hours week plus (₹ R) per hour, if he Works a total of T hours.
How many terms does a trinomial contain?
