`216x^3+(1)/(125)`

Consider biquadratic equation 81x^(4) + 216x^(3)+ 216x^(2) + 96x = 65 , whose roots are a,b,c,d . Given a,b , real roots and c,d are imaginary roots. On the basis of above information, answer the followin questions: The Value of c^(3) + d^(3) - (a+b))^(3) is equal to

Verify x^(3)-y^(3)= (x-y)(x^(2)+y^(2)+xy) Hence factorise 216x^(3)-125y^(3)

Factorise the following expressions: (i) x^(2) + 4x + 4 (ii) 3a^(2) -24ab+ 48b^(2) (iii) x^(5) -16x (iv) m^(2) +(1)/( m^(2)) -23 ( v) 6-216x^(2) (vi) a^(2) +(1)/( a^(2)) -18

Consider biquadratic equation 81x^(4) + 216x^(3) + 216x^(2) +96x = 65 , whose roots are a,b,c,d . Given a,b , real roots and c,d are imaginary roots. On the basis of above information, answer the followin questions: The value of (a+b)^(3) - (c+d)^(3) is equal to-

Consider biquadratic equation 81x^(4) + 216x^(3) + 216x^(2) +96x = 65 , whose roots are a,b,c,d . Given a,b , real roots and c,d are imaginary roots. On the basis of above information, answer the followin questions: The value of (a+b)^(3) - (c+d)^(3) is equal to-

Factorise (i) 8p^3+(12)/(5)p^2+(6)/(25)p+(1)/(125) (ii) 27p^3-(9)/(2)p^2+(1)/(4)p-(1)/(216)

An unbiased die is tossed 3 times, suppose that a variable x is assigned the value k, when k consecutive sixes are obtained for else x takes the value –1 . Then expected value of x is: A. (182)/(216) B. (172)/(216) C. (-182)/(216) D. -(172)/(216)

Determine the rate of interest at which a sum of money will become (216)/(125) times the original amount in 1 (1)/(2) years,if the interest is compounded half-yearly.