Advertisements
Advertisements
Question
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
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: `a^2 x^2 + (ax^2 + 1)x + a`
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]
Evaluate: (3c - 5d)(4c - 6d)
Evaluate: (6p2 - 8pq + 2q2) (- 5p)
Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2b
Divide: m2 − 2mn + n2 by m − n
Divide: 8a2 + 4a - 60 by 2a - 5
Divide: 5x2 - 3x by x
Express the following properties with variables x, y and z.
Commutative property of multiplication
