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
Factorize `x^2 + 12/35 x + 1/35`
Factorize 8a3 – 27b3 – 36a2b + 54ab2
Write the value of 483 − 303 − 183.
Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
The constant term of the expression 2y – 6 is _________
Write the variables, constant and terms of the following expression
7p – 4q + 5
