" 6."216x^(3)+(1)/(125)

(0.216)^(1/3)

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

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

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-

If ((1/216)^(-2/3))/((1/27)^(-4/3))=x . The value of x is:

Show that: (i)27 ^(1/3)X\ 64 ^(1/3)=\ (27X 64) ^(1/3) (ii)(64X\ 729 )^(1/3)=\ 64 ^(1/3)X\ 729 ^(1/3) (iii) (-125 X\ 216 )^(1/3) = \ -125 ^(1/3) X \ 216 ^(1/3) (iv) (-125X-1000)^(1/3)=-125 ^(1/3)X\ -1000^(1/3)

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

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)

Express each of the following rational numbers in power notation: (i)(49)/(64) (ii) -(64)/(125) (iii) -1/(216)