[" (i) ",1+64x^(3)," (ii) ",a^(3)-2sqrt(2b^(3))]

Factorise (i) 1+64x^(3) (ii) a^(3)-2sqrt(2)b^(3)

Factorise (i) 1+64x^(3) " " (ii) a^(3)-2sqrt(2)b^(3)

Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc (ii) 2sqrt(2)a^(3)+8b^(3)-27c^(3)+18sqrt(2)abc

If x = (a + sqrt(a^(2) + b^(3)))^((1)/(3)) + (a-sqrt(a^(2) + b^(3)))^((1)/(3)) , then what is the value of x^(3) + 3bx - 2a ?

12.Rationalise and find the value of' "a'" and "'b'" ; (i) "(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3), (ii) (sqrt(5)-2)/(sqrt(5)+2)=a+b sqrt(5)

Evaluate (i) (32)^((1)/(5)) +(-7)^(0) + (64)^((1)/(2)) (ii) (0.00032)^(-(2)/(3)) (iii) ((64)/(125))^(-(2)/(3)) .

b. sqrt(64x^(3)y^(5))-:sqrt(16x^(5)y^(7))

Factroise (i) a^3-2sqrt(2)b^3 (ii)1-64a^3 (iii) 8a^3-27b^3