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 + 6sqrt2x + 10`
Factorize the following expressions:
`x^3/216 - 8y^3`
Factorize the following expressions:
(a + b)3 – 8(a – b)3
Factorize 8x3 + 27 y3 + 36x2 y + 54xy2
`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`
Find the value of the following expression: 16x2 + 24x + 9, when \[x = \frac{7}{4}\]
Solve the following equation.
4(x + 12) = 8
In a polynomial, the exponents of the variables are always ______.
Express the following properties with variables x, y and z.
Commutative property of addition
Which of the following statements about polynomials is correct?
